Article
Computer Science, Artificial Intelligence
Fenglan Wang, Lijun Long
Summary: This article addresses the event-triggered output-feedback funnel tracking control problem for a class of switched nonlinear systems. A novel switched-observer-based event-triggered adaptive fuzzy funnel control approach utilizing the average dwell time method and backstepping is proposed. It introduces a switched fuzzy observer and switched update laws to estimate unmeasurable system states. Compared with existing funnel controllers, the proposed approach constructs event-triggered controllers and a switching event-triggered mechanism (ETM) to reduce waste of communication and computation resources, and handles asynchronous switching between subsystems. It ensures a strictly positive lower bound on interevent time and guarantees that the tracking error evolves within a prespecified performance funnel.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2022)
Article
Computer Science, Information Systems
Yongchao Liu, Qidan Zhu, Ning Zhao
Summary: This paper investigates the event-triggered adaptive fuzzy control problem for switched nonlinear systems with state constraints. Fuzzy logic systems are used to handle unknown dynamics, and a barrier Lyapunov function is deployed to address state constraints. By combining event-triggered mechanism with backstepping framework, the proposed scheme not only overcomes the impact of state constraints on system performance, but also saves network and data transmission. The stability of the system and the effectiveness of the constraints are verified through Lyapunov stability analysis and average dwell time method. Simulation analysis on mass-spring-damper systems validates the designed scheme.
INFORMATION SCIENCES
(2021)
Article
Computer Science, Information Systems
Yan Yan, Xiqin He, Libing Wu, Qingkun Yu
Summary: This article focuses on adaptive event-triggered control (ETC) for a family of switched nonlinear systems with full-state constraints. A first-order command filter is introduced to reduce complexity, and compensating signals are designed to cancel filtering errors. By combining the filtered control and backstepping technology, a new event-triggered controller based on fuzzy logic systems (FLSs) is proposed, which reduces triggering frequency and handles mismatch problems. The control scheme based on barrier Lyapunov functions (BLFs) guarantees no violation of full-state constraints and convergence of tracking error to the origin's neighborhood. The effectiveness of the proposed control scheme is illustrated through two simulation examples.
INFORMATION SCIENCES
(2023)
Article
Automation & Control Systems
Jing Zhang, Zhengrong Xiang
Summary: In this article, the adaptive decentralized output feedback sensor failure compensation control issue of nonlinear switched interconnected systems is investigated. A new switched state observer is designed for estimating unmeasured states, and a novel adaptive failure compensation mechanism is adopted to address challenges incurred by sensor effectiveness loss. Mode-dependent adaptive laws and backstepping technique are used to construct a decentralized adaptive failure-tolerant controller, which guarantees that system outputs track reference signals and all signals in the closed-loop system are bounded with average dwell time switchings. A practical simulation example is provided to illustrate the effectiveness of the presented scheme.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Mathematics, Applied
Manman Yuan, Junyong Zhai, Hui Ye
Summary: This article addresses the issue of adaptive event-triggered output-feedback control for a class of switched stochastic nonlinear systems under arbitrary switchings. By introducing dynamic gains and a decaying function, a dynamically adjustable event-triggered strategy is designed, and a new event-triggered output-feedback controller is established to ensure the convergence of all states of the closed-loop system to the origin almost surely.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Automation & Control Systems
Ben Niu, Jie Kong, Xudong Zhao, Jiaming Zhang, Zhenhua Wang, Yuanxin Li
Summary: This article investigates the problem of adaptive event-triggered output-feedback control for a class of switched stochastic nonlinear systems with actuator faults. By presenting a general adaptive control rule based on the mode-dependent average dwell time (MDADT), the article implements the adaptive output-feedback control for the switched stochastic system. Fuzzy-logic systems are utilized to approximate the unknown nonlinear functions, and the dynamic surface design approach is employed to decrease the complexity of calculations. A switched observer is also designed to estimate the unknown states. The simulation results validate the effectiveness of the proposed control strategy.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Hongzhen Xie, Guangdeng Zong, Dong Yang, Yunjun Chen, Kaibo Shi
Summary: This work focuses on dynamic output feedback L. control for switched affine systems with dwell time constraints. An improved event-triggered condition is proposed to prevent triggering Zeno behavior, and a novel dynamic output feedback switched affine controller is constructed to achieve a more rigorous and complete control strategy.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2023)
Article
Mathematics, Applied
Hao-Yang Zhu, Xiaoyue Jiang, Yuan-Xin Li, Shaocheng Tong
Summary: This article addresses the issue of initial state-dependent average dwell time (ISD-ADT) based output feedback control for switched systems. A switched observer is first proposed to estimate the unmeasurable states. A novel switching law is then established based on the ISD-ADT method and backstepping technique. Furthermore, a fuzzy adaptive finite-time control algorithm is presented using the smooth switch function (SSF) to overcome singularity hindrance.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Computer Science, Information Systems
Zhenhua Li, Gang Cao, Wei Xie, Rui Gao, Weidong Zhang
Summary: This paper addresses the problem of adaptive neural network output-feedback tracking control for a class of switched nonlinear time-delay systems with actuator saturation. A constructive delay-independent switched observer-based adaptive neural network control approach is proposed to estimate unmeasurable states using the average dwell time method and the backstepping technique. Design obstacles caused by unknown time delays, actuator saturation, and unknown nonlinear functions are overcome using the Lyapunov-Krasovskii functionals method, Nussbaum gain technique, and neural network approximations, respectively. The proposed control strategy guarantees boundedness of the closed-loop signals and convergence of the output tracking error to a small neighborhood around the origin.
INFORMATION SCIENCES
(2023)
Article
Automation & Control Systems
Xuejiao Li, Lijun Long
Summary: This paper addresses the problem of event-triggered-based secure adaptive neural-networked consensus tracking control for switched nonlinear multi-agent systems with unknown control directions under network attacks. A new protocol is proposed using backstepping, average dwell time method, and the Nussbaum gain technique to mitigate the effects of sensor and actuator attacks. The protocol handles asynchronous switching between subsystems and ensures consensus tracking errors converge to a small neighborhood of the origin.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Anqing Yang, Zhenli Zhao, Hongpeng Shi, Shuping Ma
Summary: This paper addresses the event-triggered H infinity control problem of nonlinear switched singular systems (NSSSs) with incremental quadratic constraints (IQCs) using a mode-dependent hybrid triggering strategy. A novel mode-dependent hybrid event-triggering strategy (ETS) is proposed to avoid Zeno behavior and asynchronous phenomena. Theoretical conditions are derived for the closed-loop system to be regular, impulse-free, have a unique solution, and be globally uniformly asymptotically stable (GUAS) with a weighted H infinity performance. The validity of the results is demonstrated through a numerical example and a practical application.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Zhida Fan, Fenglan Wang, Lijun Long
Summary: This article investigates the problem of prescribed performance event-triggered tracking control for a class of multi-input-multi-output (MIMO) switched uncertain nonlinear systems. A proper switching law is developed to set up a prescribed performance event-triggered low-complexity state-feedback control method. The results are extended to MIMO switched uncertain nonlinear systems with unavailable states by developing a prescribed performance event-triggered low-complexity output-feedback control and a high-gain observer, excluding the Zeno phenomenon for the event-triggered mechanism and the switching law. Two examples are provided to verify the results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Xueliang Wang, Jianwei Xia, Na Zhang, Miao Yu, Xiaoxiao Guo
Summary: This article addresses the problem of dynamic event-triggered tracking control for nonlinear switched systems with uncertain nonlinearities. By combining neural network control technology, mode-dependent average dwell time switching rule, and dynamic event-triggered strategy, a valid adaptive control scheme is proposed. The scheme guarantees the boundedness of all signals in the resulting closed-loop system and the convergence of the tracking error to a small neighborhood of the origin under a class of switching signals with MDADT property. Unlike existing tracking control schemes, the proposed dynamic event-triggered strategy reduces unnecessary transmissions from the controller to the actuator, thus better saving network resources. The effectiveness of the proposed control design is verified through numerical simulation.
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
(2023)
Article
Engineering, Mechanical
Yingjie Deng, Zhiliang Liu, Bing Chen
Summary: This paper studies the event-triggered control method for nonstrict-feedback nonlinear systems with unknown measurement and model dynamics. By utilizing radial basis function neural networks, uncertainties are compensated for. An event-triggered state observer is established, and the control design is carried out using the backstepping method. The proposed scheme guarantees the semi-globally uniformly ultimate boundedness of all errors.
NONLINEAR DYNAMICS
(2022)
Article
Automation & Control Systems
Dawei Wu, Yonghui Sun, Shuyi Shao
Summary: A robust control framework is developed for nonstrict-feedback switched nonlinear systems, where a novel disturbance observer is proposed to account for differences in disturbances among subsystems. By improving stability conditions and delay processing methods, a robust control law based on the DO is designed and analyzed using the ADT approach. The effectiveness of the proposed control scheme is verified through simulation studies.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Automation & Control Systems
Yunjun Chen, Xin Mao, Guangdeng Zong, Dong Yang, Kaibo Shi
Summary: This paper investigates the event-triggered finite-time dynamic output feedback control for switched affine systems with asynchronous switching. The finite-time stability performance of the closed-loop systems is achieved by setting up a dynamic output feedback switched affine controller together with an event-triggered mechanism. The study discusses the system dynamics under the proposed mechanism during the synchronous and asynchronous switching intervals, emphasizing the existence of the lower bound on interevent intervals to exclude the occurrence of Zeno behavior.
ASIAN JOURNAL OF CONTROL
(2023)
Article
Engineering, Electrical & Electronic
Fabin Cheng, Huanqing Wang, Guangdeng Zong, Ben Niu, Xudong Zhao
Summary: This article considers the problem of finite-time command-filtered control for switched nonlinear systems with input quantization and output constraints. The unmeasurable state is estimated by designing a switched state observer. Hysteresis quantization and barrier Lyapunov function approach are used to solve the chattering problem and restrict the output to an expected range. A first-order Levant differentiator is used to accurately filter the intermediate signals and ensure the finite-time stability of the filter. Stability of the closed-loop system is proved using multiple Lyapunov functions.
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Automation & Control Systems
Hongzhen Xie, Guangdeng Zong, Dong Yang, Yunjun Chen, Kaibo Shi
Summary: This article addresses the asymptotic stabilization problem of switched affine systems with unmeasurable states and time delay by constructing a novel dynamic event-triggered mechanism and designing dynamic output feedback switched controllers. The proposed approach successfully avoids Zeno behavior and maintains system stability.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Qian Xu, Guangdeng Zong, Yunjun Chen, Ben Niu, Kaibo Shi
Summary: This paper investigates the command filter-based adaptive neural network tracking control problem for uncertain nonsmooth nonlinear systems. An integral barrier Lyapunov function is introduced to handle the symmetric output constraint, and the Filippov's differential inclusion theory and approximation theorem are used to convert the nonsmooth nonlinear system to an equivalent smooth nonlinear system. Levant's differentiator is employed to handle the complexity explosion problem, and an error compensation mechanism is established to attenuate the effect of filtering error on control performance. By resorting to the backstepping technique, an adaptive neural network controller is set up. It is mathematically proved that the tracking error can converge to an arbitrarily small neighborhood of the origin, and all signals in the closed-loop system are semi-globally uniformly ultimately bounded. Numerical and application examples are provided to demonstrate the effectiveness of the proposed control strategy.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2023)
Article
Computer Science, Artificial Intelligence
Jiaming Zhang, Ben Niu, Ding Wang, Huanqing Wang, Peiyong Duan, Guangdeng Zong
Summary: In this paper, a neural-networks-based adaptive asymptotic tracking control scheme is proposed for uncertain nonstrict feedback nonlinear systems. By constructing a nonlinear mapping and employing design methods, the constraints and asymptotic tracking performance are simultaneously satisfied.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Automation & Control Systems
Hongzhen Xie, Guangdeng Zong, Dong Yang, Yunjun Chen, Kaibo Shi
Summary: This work focuses on dynamic output feedback L. control for switched affine systems with dwell time constraints. An improved event-triggered condition is proposed to prevent triggering Zeno behavior, and a novel dynamic output feedback switched affine controller is constructed to achieve a more rigorous and complete control strategy.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2023)
Article
Automation & Control Systems
Zhongwen Cao, Ben Niu, Guangdeng Zong, Ning Xu
Summary: This paper investigates event-triggered tracking control for switched networked nonlinear systems with asymmetric time-varying output constraints. An output-dependent generic constraint function is constructed to handle the output constraints, and an event-triggering rule is designed to reduce communication frequency. An adaptive control method is proposed based on the common Lyapunov function method and event-triggered control strategy, which guarantees bounded closed-loop signals and avoids Zeno behavior. The proposed scheme relaxes constraint boundaries and addresses both cases with and without output constraints simultaneously. The stability of the system is guaranteed by the small-gain technique. Two simulation examples demonstrate the effectiveness of the proposed scheme.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2023)
Article
Automation & Control Systems
Jun Cheng, Huaicheng Yan, Ju H. Park, Guangdeng Zong
Summary: In this study, the problem of output-feedback control strategy design for a type of Takagi-Sugeno fuzzy singular perturbed system is explored. To improve the reliability of signal transmission and alleviate the communication load, a novel stochastic communication protocol (SCP) based on a nonhomogeneous Markov chain is proposed. An asynchronous OFC law is formulated using a hidden Markov model with partly unidentified detection probabilities. A sufficient condition is established to guarantee the stochastic stability of the resulting system, and the solution for the asynchronous controller is portrayed by establishing a novel Lyapunov-Krasovskii functional with a singular perturbation parameter and a nonhomogeneous Markov process. The validity of the methodology is demonstrated through a practical example.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Li Ma, Fanglai Zhu, Jiancheng Zhang, Xudong Zhao
Summary: This article proposes a leader-follower asymptotic consensus control strategy for linear multiagent systems with unknown external disturbances and measurement noises. The article discusses the preconditions, minimum phase condition (MPC) and observer matching condition (OMC), and presents an equivalent result under these two preconditions. A reduced-order observer and a novel unknown disturbance reconstruction method are designed to estimate the system states and noises of each agent. The article also demonstrates the effectiveness and advantages of the proposed methods through simulation examples.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Wenhai Qi, Guangdeng Zong, Yakun Hou, Mohammed Chadli
Summary: This article focuses on the discrete-time sliding mode control (DSMC) for nonlinear semi-Markovian switching systems (S-MSSs). Due to the difficulty in obtaining complete information of the semi-Markov Kernel in practical applications, it is commonly considered to be partly unknown. By utilizing the prior information of the sojourn-time upper bound for each switching mode, this article proposes sufficient conditions under the equivalent DSMC law for mean square stability. Moreover, the designed DSMC law achieves finite-time reachability of the sliding region and finite-time convergence of the sliding dynamics to the predesignated sliding region. A numerical example and an electronic throttle model are provided to validate the proposed control strategy.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Automation & Control Systems
Haiyang Chen, Fangzheng Gao, Guangdeng Zong
Summary: This article proposes a solution to the finite-time dissipative fuzzy state estimation problem for mixed cyber attacks. It reduces unwanted network traffic through a probabilistic event-triggered mechanism and tackles dual asynchronizations. By constructing Takagi-Sugeno fuzzy state estimators based on imperfect measurements, and establishing less conservative criteria, the strictly finite-time state estimation performance is achieved.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Automation & Control Systems
Wenhai Qi, Yakun Hou, Ju H. Park, Guangdeng Zong, Jinde Cao, Jun Cheng
Summary: This article focuses on the problem of discrete-time sliding mode control (DTSMC) for uncertain networked semi-Markovian switching systems (S-MSSs) under random denial-of-service (DoS) attacks. The semi-Markovian kernel (SMK) approach is used for controlling the switching between different modes, and a sliding mode function related to the attack probability is constructed to analyze the impact of malicious attacks. Sufficient conditions are derived to ensure that the proposed DTSMC law can drive the system dynamics onto the preset sliding region within a limited time.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Automation & Control Systems
Fabin Cheng, Hongjing Liang, Huanqing Wang, Guangdeng Zong, Ning Xu
Summary: An adaptive neural bipartite tracking control approach is proposed for nonlinear multi-agent systems in this article. The paper considers a cooperative-competitive relationship in multi-agent systems and designs a distributed self-triggered communication strategy to improve system efficiency. The designed controller can compensate for actuator failure and nonlinearity, increasing system fault-tolerance.
IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING
(2023)
Article
Computer Science, Artificial Intelligence
Liang Zhang, Guangdeng Zong, Xudong Zhao, Ning Zhao, Sanaa Sharaf
Summary: This article investigates the problem of reachable set control for a class of discrete-time Takagi-Sugeno fuzzy singular Markov jump systems (T-S FSMJSs) with time-varying delay and disturbance for the first time. Two new sufficient conditions for the reachable set control are established by designing the state feedback and output feedback controllers, and based on the Lyapunov functional. The state feedback and output feedback controller gains are obtained by optimizing the iterative algorithm. The validity and usability of the proposed methods are demonstrated through two examples with practical application background.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2023)
Article
Automation & Control Systems
Guangdeng Zong, Qian Xu, Xudong Zhao, Shun-Feng Su, Limei Song
Summary: This article discusses the output-feedback adaptive neural network control problem for nonsmooth nonlinear systems with input deadzone and saturation. By converting the nonsmooth input to a smooth function, and introducing an appropriate observer and adaptive backstepping technique, an output-feedback adaptive strategy is established. A new stability criterion is also proposed to ensure the boundedness of the system. Comparative simulations are conducted to validate the effectiveness of the proposed control algorithm.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Article
Mathematics, Applied
Peter Frolkovic, Nikola Gajdosova
Summary: This paper presents compact semi-implicit finite difference schemes for solving advection problems using level set methods. Through numerical tests and stability analysis, the accuracy and stability of the proposed schemes are verified.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Md. Rajib Arefin, Jun Tanimoto
Summary: Human behaviors are strongly influenced by social norms, and this study shows that injunctive social norms can lead to bi-stability in evolutionary games. Different games exhibit different outcomes, with some showing the possibility of coexistence or a stable equilibrium.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Dingyi Du, Chunhong Fu, Qingxiang Xu
Summary: A correction and improvement are made on a recent joint work by the second and third authors. An optimal perturbation bound is also clarified for certain 2 x 2 Hermitian matrices.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Pingrui Zhang, Xiaoyun Jiang, Junqing Jia
Summary: In this study, improved uniform error bounds are developed for the long-time dynamics of the nonlinear space fractional Dirac equation in two dimensions. The equation is discretized in time using the Strang splitting method and in space using the Fourier pseudospectral method. The major local truncation error of the numerical methods is established, and improved uniform error estimates are rigorously demonstrated for the semi-discrete scheme and full-discretization. Numerical investigations are presented to verify the error bounds and illustrate the long-time dynamical behaviors of the equation with honeycomb lattice potentials.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Kuan Zou, Wenchen Han, Lan Zhang, Changwei Huang
Summary: This research extends the spatial PGG on hypergraphs and allows cooperators to allocate investments unevenly. The results show that allocating more resources to profitable groups can effectively promote cooperation. Additionally, a moderate negative value of investment preference leads to the lowest level of cooperation.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Kui Du
Summary: This article introduces two new regularized randomized iterative algorithms for finding solutions with certain structures of a linear system ABx = b. Compared to other randomized iterative algorithms, these new algorithms can find sparse solutions and have better performance.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Shadi Malek Bagomghaleh, Saeed Pishbin, Gholamhossein Gholami
Summary: This study combines the concept of vanishing delay arguments with a linear system of integral-algebraic equations (IAEs) for the first time. The piecewise collocation scheme is used to numerically solve the Hessenberg type IAEs system with vanishing delays. Well-established results regarding regularity, existence, uniqueness, and convergence of the solution are presented. Two test problems are studied to verify the theoretical achievements in practice.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Qi Hu, Tao Jin, Yulian Jiang, Xingwen Liu
Summary: Public supervision plays an important role in guiding and influencing individual behavior. This study proposes a reputation incentives mechanism with public supervision, where each player has the authority to evaluate others. Numerical simulations show that reputation provides positive incentives for cooperation.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Werner M. Seiler, Matthias Seiss
Summary: This article proposes a geometric approach for the numerical integration of (systems of) quasi-linear differential equations with singular initial and boundary value problems. It transforms the original problem into computing the unstable manifold at a stationary point of an associated vector field, allowing efficient and robust solutions. Additionally, the shooting method is employed for boundary value problems. Examples of (generalized) Lane-Emden equations and the Thomas-Fermi equation are discussed.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Lisandro A. Raviola, Mariano F. De Leo
Summary: We evaluated the performance of novel numerical methods for solving one-dimensional nonlinear fractional dispersive and dissipative evolution equations and showed that the proposed methods are effective in terms of accuracy and computational cost. They can be applied to both irreversible models and dissipative solitons, offering a promising alternative for solving a wide range of evolutionary partial differential equations.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Yong Wang, Jie Zhong, Qinyao Pan, Ning Li
Summary: This paper studies the set stability of Boolean networks using the semi-tensor product of matrices. It introduces an index-vector and an algorithm to verify and achieve set stability, and proposes a hybrid pinning control technique to reduce computational complexity. The issue of synchronization is also discussed, and simulations are presented to demonstrate the effectiveness of the results obtained.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Ling Cheng, Sirui Zhang, Yingchun Wang
Summary: This paper considers the optimal capacity allocation problem of integrated energy systems (IESs) with power-gas systems for clean energy consumption. It establishes power-gas network models with equality and inequality constraints, and designs a novel full distributed cooperative optimal regulation scheme to tackle this problem. A distributed projection operator is developed to handle the inequality constraints in IESs. The simulation demonstrates the effectiveness of the distributed optimization approach.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Abdurrahim Toktas, Ugur Erkan, Suo Gao, Chanil Pak
Summary: This study proposes a novel image encryption scheme based on the Bessel map, which ensures the security and randomness of the ciphered images through the chaotic characteristics and complexity of the Bessel map.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Xinjie Fu, Jinrong Wang
Summary: In this paper, we establish an SAIQR epidemic network model and explore the global stability of the disease in both disease-free and endemic equilibria. We also consider the control of epidemic transmission through non-instantaneous impulsive vaccination and demonstrate the sustainability of the model. Finally, we validate the results through numerical simulations using a scale-free network.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Maria Han Veiga, Lorenzo Micalizzi, Davide Torlo
Summary: The paper focuses on the iterative discretization of weak formulations in the context of ODE problems. Several strategies to improve the accuracy of the method are proposed, and the method is combined with a Deferred Correction framework to introduce efficient p-adaptive modifications. Analytical and numerical results demonstrate the stability and computational efficiency of the modified methods.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
