Article
Automation & Control Systems
Wenqin Wang, Xin Qi, Shouming Zhong, Feng Liu
Summary: This article studies the finite-time boundedness and control problem for time-delay switched systems with uncertainties. The delay is considered as time-varying delay rather than constant delay, which is more suitable for practical engineering. The author first researches the property of finite time boundedness for uncertain switched system without control input by constructing a proper Lyapunov-Krasovskii functional (LKF) and minimum LKF switching rules. Then, a state feedback controller with switching is designed, and sufficient conditions for finite-time boundedness of time-delay switched systems with control input and controller gain are presented by utilizing Finsler's Lemma and singular value decomposition (SVD). Additionally, a filter system is designed to obtain the finite time boundedness and filter parameters of the closed-loop error system using the auxiliary matrix method. The proposed methods are demonstrated to be feasible and the significance of switching rule is shown through two numerical examples.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Automation & Control Systems
Wenqin Wang, Xin Qi, Shouming Zhong, Feng Liu
Summary: This paper explores the finite-time boundedness and controller problem of switching nonlinear delay systems. By selecting an appropriate Lyapunov-Krasovskii functional and using the auxiliary matrix method, the upper and lower bounds of integral terms are obtained and the Lyapunov matrix is separated from the system matrix. A new state-dependent switching law is designed to switch between subsystems. The finite-time boundedness of delayed system without control input is analyzed and a sufficient condition for the finite-time boundedness of switched systems with control input is obtained. An observer-based H-infinity controller is designed to ensure the boundedness and H-infinity performance of the closed-loop system with time-varying delay. Simulations are conducted to verify the effectiveness and feasibility of the proposed methods.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Computer Science, Theory & Methods
Guangdeng Zong, Xue Sun, Dong Yang, Shun-Feng Su, Kaibo Shi
Summary: This paper investigates the finite-time H-infinity control problem for switched fuzzy systems using the edge-dependent average dwell time switching. A dynamic event-triggered mechanism is adopted to alleviate communication pressure, and an adaptive law is set up to adjust the threshold on-line, which deeply affects the triggering times. It is rigorously proved that the Zeno behavior is excluded. A set of dynamic event-triggered controllers and edge-dependent average dwell time switching signals are co-designed to achieve desired performance. Finally, a chemical reaction example is given to validate the effectiveness of the proposed method.
FUZZY SETS AND SYSTEMS
(2023)
Article
Automation & Control Systems
Xue Sun, Dong Yang, Guangdeng Zong
Summary: This paper presents a novel switching dynamic event-triggered mechanism to address the boundedness H-infinity control problem for switched fuzzy systems. By designing internal variables and establishing a Lyapunov-like function, the performance of the proposed mechanism is ensured. The effectiveness of the method is validated through an example.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2021)
Article
Automation & Control Systems
Chenhong Zhu, Xiaodi Li, Jinde Cao
Summary: This paper addresses the issues of finite-time bounded (FTB) and finite-time H-infinity control for nonlinear impulsive switched systems by proposing sufficient conditions and designing a hybrid dynamic output feedback controller. The effectiveness of the results is demonstrated through numerical examples.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2021)
Article
Computer Science, Artificial Intelligence
Zhongyang Fei, Shuang Shi, Choon Ki Ahn, Michael Basin
Summary: This article studies finite-time H-infinity control for continuous-time-switched Takagi-Sugeno fuzzy systems with mode-dependent average dwell-time (MDADT) switching. The dynamic event-triggered mechanism is used to monitor data transmission, reducing the amount of transmitted data more efficiently compared to conventional static methods. The proposed control scheme is validated through simulation examples, demonstrating its effectiveness and advantages.
IEEE TRANSACTIONS ON FUZZY SYSTEMS
(2021)
Article
Mathematics
Liang Zhu, Baolong Zhu, Zhiguo Yan, Guolin Hu
Summary: This paper investigates the finite-time contractively bounded control issue for positive linear systems under H-infinity performance. A state feedback finite-time contractively bounded controller design method is proposed and the corresponding sufficient condition for the existence of the desired controller is derived. The effectiveness of the proposed conditions is validated through numerical and application examples.
Article
Automation & Control Systems
Saravanan Shanmugam, M. Syed Ali, Keum-Shik Hong, Quanxin Zhu
Summary: This paper discusses the resilient H-infinity performance for finite-time boundedness of neutral-type neural networks with time-varying delays and proposes finite-time stability conditions. Sufficient criteria are derived through the use of appropriate Lyapunov-Krasovskii functional, auxiliary function-based integral inequality, and Wirtinger's based integral inequality. The purpose is to design the system with specified decay rate and H-infinity performance requirement.
ASIAN JOURNAL OF CONTROL
(2021)
Article
Mathematics, Applied
Shuowei Jin, Yongheng Pang, Xiaoming Zhou, Aiyun Yan, Wei Wang, Wenbo Hu
Summary: This work focuses on robust finite-time fault-tolerant control and reachable set estimation for uncertain switched neutral systems subject to time delays as well as input constraints. Compared with the existing studies, this system has wider application. The sufficient conditions of finite time boundedness, reachable set estimation and input-output finite-time stability for the closed-loop system are obtained in the framework of linear matrix inequalities via piece wise Lyapunov function.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Mathematics
Hamid Ghadiri, Hamed Khodadadi, Saleh Mobayen, Jihad H. Asad, Thaned Rojsiraphisal, Arthur Chang
Summary: This study addresses the challenges of controller design for Uncertain Switched Neutral Systems (USNSs) with discrete, neutral, and time-varying delays using a robust observer-based control technique. It emphasizes on norm-bounded and time-varying uncertainties, reducing disturbance input and ensuring robust exponential stability. The approach includes designing a robust output observer-based control, applying the Yakubovich lemma, and developing sufficient conditions for robust exponential stability using linear matrix inequalities.
Article
Automation & Control Systems
Xueyang Li, Mengran Zhou, Xianwen Fang
Summary: This manuscript addresses the finite-time H(infinity) control issue for distributed parameter switched systems (DPSSs). The proposed approach ensures the FT boundedness and event-triggered FT stabilization, resulting in effective control of DPSSs.
ASIAN JOURNAL OF CONTROL
(2022)
Article
Automation & Control Systems
Yaowei Sun, Jun Zhao
Summary: This paper studies the problem of finite-time control for switched nonlinear systems, introducing the notion of finite-time as a performance index and deriving a sufficient condition for solving the finite-time control problem using the method of multiple Lyapunov functions and the technique of adding a power integrator. The effectiveness of the provided control strategy is demonstrated through a simulation example.
INTERNATIONAL JOURNAL OF CONTROL
(2021)
Article
Automation & Control Systems
Ronghao Wang, Jianchun Xing, Zhengrong Xiang
Summary: This study investigates the finite-time stabilization and finite-time bounded stabilization of linear time-varying switched systems in the framework of asynchronous control. Necessary and sufficient conditions are proposed for finite-time stability, and a sufficient condition for finite-time boundedness is extended using the average dwell time method. State feedback stabilization conditions are also given in the form of nonlinear DMIs for asynchronously switched control. Examples are provided to illustrate the validity of the results.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2021)
Article
Mathematics, Interdisciplinary Applications
Wanli Zhang, Zihang Wei, Xiangze Lin, Chih-chiang Chen
Summary: This paper investigates the finite-time bounded sampled-data control problem of switched systems with sector bounded nonlinearity and constant time delay. Different cases of sampling periods and error sources are discussed, and the proposed method is validated through numerical simulations.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Applied
Gongfei Song, Zimeng Zhang, Yanan Zhu, Tao Li
Summary: This work investigates the discrete-time state feedback control problem for neutral stochastic delay systems with highly nonlinear coefficients. Conventional methods are not applicable due to the presence of highly nonlinear terms, neutral term, and discrete time observation values. A more general Lyapunov function is constructed to prove the stability of the designed controller, and different stability conditions of the corresponding systems are presented. A numerical case is provided to validate the proposed theoretical results.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Automation & Control Systems
Magdi Sadek Mahmoud, Nezar M. Alyazidi
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2020)
Article
Automation & Control Systems
Shuo Li, Zhengrong Xiang, Jian Guo
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
(2018)
Article
Computer Science, Artificial Intelligence
Shi Li, Jian Guo, Zhengrong Xiang
Article
Engineering, Mechanical
Jun Mao, Zhengrong Xiang, Guisheng Zhai, Jian Guo
NONLINEAR DYNAMICS
(2018)
Article
Automation & Control Systems
Shuo Li, Zhengrong Xiang
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2018)
Article
Automation & Control Systems
Wencheng Zou, Jian Guo, Zhengrong Xiang
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2018)
Article
Automation & Control Systems
Magdi S. Mahmoud, Yuanqing Xia, Sixing Zhang
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2019)
Article
Computer Science, Artificial Intelligence
Magdi S. Mahmoud, Mutaz M. Hamdan, Uthman A. Baroudi
Article
Mathematics, Applied
Nezar M. Alyazidi, Magdi S. Mahmoud
APPLIED MATHEMATICS AND COMPUTATION
(2019)
Article
Automation & Control Systems
Mutaz M. Hamdan, Magdi S. Mahmoud, Uthman A. Baroudi
Summary: Industry Revolution 4.0 drives the digitization of the industry. Cyberphysical Systems (CPSs) introduce opportunities and challenges to the industry. In this article, an event-triggering control scheme is designed to protect CPSs from cyber-attacks. Additionally, an observer-based control approach is proposed to maintain the stability of CPSs.
Article
Automation & Control Systems
Bilal J. Karaki, Magdi S. Mahmoud
Summary: This article studies the consensus problem for discrete-time nonlinear multiagent systems with time delay. A distributed consensus protocol based on an asynchronous event-triggered mechanism is proposed to achieve state consensus for multiagent systems with nonlinear perturbations. The protocol reduces network communication congestion and energy consumption. The theoretical results are illustrated through a simulation example.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Mathematics, Applied
Nezar M. Alyazidi, Abdalrahman M. Hassanine, Magdi S. Mahmoud
Summary: This article presents an online policy iteration-based reinforcement learning approach for a class of nonlinear three-dimensional overhead cranes with bounded uncertainties. Assuming a fixed rope length with small swing angles, a linearized model is derived. The system includes four states: two actuated states (position x and y) and two unactuated states (rope angles theta x and theta y). An adaptive reinforcement learning controller is designed to handle the effects of measurement noises and outliers without precise knowledge of the system dynamics. A simulation study demonstrates the influence and robustness of the developed controller in enhancing tracking trajectory under different scenarios.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Engineering, Multidisciplinary
Magdi S. Mahmoud, Bilal J. Karaki
Summary: This paper investigates output synchronization of heterogenous time-delay discrete-time multiagent systems via output couplings. The proposed synchronization scheme demonstrates strong robustness facing norm-bounded uncertainties, and provides a solution for synchronization of multiagent systems with event triggering mechanism and time-varying delay. Numerical simulations illustrate the effectiveness of the proposed strategies.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2021)
Article
Computer Science, Information Systems
Magdi Sadek Mahmoud, Muhammad Maaruf
Article
Computer Science, Information Systems
Ahmed Eltayeb, Mohd Fua'ad Rahmat, Mohd Ariffanan Mohd Basri, M. A. Mohammed Eltoum, Magdi Sadek Mahmoud
Summary: This paper proposes an integral adaptive sliding mode control scheme for quadcopter UAV systems, which can effectively control the system in the presence of uncertainties and disturbances, while reducing unwanted chattering phenomena. The results show that the implemented control scheme is robust and enables the quadcopter to track predefined trajectories with limited chattering influence.
Article
Mathematics, Applied
Hao Liu, Yuzhe Li
Summary: This paper investigates the finite-time stealthy covert attack on reference tracking systems with unknown-but-bounded noises. It proposes a novel finite-time covert attack method that can steer the system state into a target set within a finite time interval while being undetectable.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Nikolay A. Kudryashov, Aleksandr A. Kutukov, Sofia F. Lavrova
Summary: The Chavy-Waddy-Kolokolnikov model with dispersion is analyzed, and new properties of the model are studied. It is shown that dispersion can be used as a control mechanism for bacterial colonies.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Qiang Ma, Jianxin Lv, Lin Bi
Summary: This paper introduces a linear stability equation based on the Boltzmann equation and establishes the relationship between small perturbations and macroscopic variables. The numerical solutions of the linear stability equations based on the Boltzmann equation and the Navier-Stokes equations are the same under the continuum assumption, providing a theoretical foundation for stability research.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Samuel W. Akingbade, Marian Gidea, Matteo Manzi, Vahid Nateghi
Summary: This paper presents a heuristic argument for the capacity of Topological Data Analysis (TDA) to detect critical transitions in financial time series. The argument is based on the Log-Periodic Power Law Singularity (LPPLS) model, which characterizes financial bubbles as super-exponential growth (or decay) with increasing oscillations approaching a tipping point. The study shows that whenever the LPPLS model fits the data, TDA generates early warning signals. As an application, the approach is illustrated using positive and negative bubbles in the Bitcoin historical price.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Xavier Antoine, Jeremie Gaidamour, Emmanuel Lorin
Summary: This paper is interested in computing the ground state of nonlinear Schrodinger/Gross-Pitaevskii equations using gradient flow type methods. The authors derived and analyzed Fractional Normalized Gradient Flow methods, which involve fractional derivatives and generalize the well-known Normalized Gradient Flow method proposed by Bao and Du in 2004. Several experiments are proposed to illustrate the convergence properties of the developed algorithms.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Lianwen Wang, Xingyu Wang, Zhijun Liu, Yating Wang
Summary: This contribution presents a delayed diffusive SEIVS epidemic model that can predict and quantify the transmission dynamics of slowly progressive diseases. The model is applied to fit pulmonary tuberculosis case data in China and provides predictions of its spread trend and effectiveness of interventions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Shuangxi Huang, Feng-Fei Jin
Summary: This paper investigates the error feedback regulator problem for a 1-D wave equation with velocity recirculation. By introducing an invertible transformation and an adaptive error-based observer, an observer-based error feedback controller is constructed to regulate the tracking error to zero asymptotically and ensure bounded internal signals.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Weimin Liu, Shiqi Gao, Feng Xu, Yandong Zhao, Yuanqing Xia, Jinkun Liu
Summary: This paper studies the modeling and consensus control of flexible wings with bending and torsion deformation, considering the vibration suppression as well. Unlike most existing multi-agent control theories, the agent system in this study is a distributed parameter system. By considering the mutual coupling between the wing's deformation and rotation angle, the dynamics model of each agent is expressed using sets of partial differential equations (PDEs) and ordinary differential equations (ODEs). Boundary control algorithms are designed to achieve control objectives, and it is proven that the closed-loop system is asymptotically stable. Numerical simulation is conducted to demonstrate the effectiveness of the proposed control scheme.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Gourav Mandal, Lakshmi Narayan Guin, Santabrata Chakravarty
Summary: The ecological framework investigates the dynamical complexity of a system influenced by prey refuge and alternative food sources for predators. This study provides a thorough investigation of the stability-instability phenomena, system parameters sensitivity, and the occurrence of bifurcations. The bubbling phenomenon, which indicates a change in the amplitudes of successive cycles, is observed in the current two-dimensional continuous system. The controlling system parameter for the bubbling phenomena is found to be the most sensitive. The prediction and identification of bifurcations in the dynamical system are crucial for theoretical and field researchers.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Damian Trofimowicz, Tomasz P. Stefanski, Jacek Gulgowski, Tomasz Talaska
Summary: This paper presents the application of control engineering methods in modeling and simulating signal propagation in time-fractional electrodynamics. By simulating signal propagation in electromagnetic media using Maxwell's equations with fractional-order constitutive relations in the time domain, the equations in time-fractional electrodynamics can be considered as a continuous-time system of state-space equations in control engineering. Analytical solutions are derived for electromagnetic-wave propagation in the time-fractional media based on state-transition matrices, and discrete time zero-order-hold equivalent models are developed and their analytical solutions are derived. The proposed models yield the same results as other reference methods, but are more flexible in terms of the number of simulation scenarios that can be tackled due to the application of the finite-difference scheme.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Yuhao Zhao, Fanhao Guo, Deshui Xu
Summary: This study develops a vibration analysis model of a nonlinear coupling-layered soft-core beam system and finds that nonlinear coupling layers are responsible for the nonlinear phenomena in the system. By using reasonable parameters for the nonlinear coupling layers, vibrations in the resonance regions can be reduced and effective control of the vibration energy of the soft-core beam system can be achieved.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
S. Kumar, H. Roy, A. Mitra, K. Ganguly
Summary: This study investigates the nonlinear dynamic behavior of bidirectional functionally graded plates (BFG) and unidirectional functionally graded plates (UFG). Two different methods, namely the whole domain method and the finite element method, are used to formulate the dynamic problem. The results show that all three plates exhibit hardening type nonlinearity, with the effect of material gradation parameters being more pronounced in simply supported plates.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Isaac A. Garcia, Susanna Maza
Summary: This paper analyzes the role of non-autonomous inverse Jacobi multipliers in the problem of nonexistence, existence, localization, and hyperbolic nature of periodic orbits of planar vector fields. It extends and generalizes previous results that focused only on the autonomous or periodic case, providing novel applications of inverse Jacobi multipliers.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Yongjian Liu, Yasi Lu, Calogero Vetro
Summary: This paper introduces a new double phase elliptic inclusion problem (DPEI) involving a nonlinear and nonhomogeneous partial differential operator. It establishes the existence and extremality results to the elliptic inclusion problem and provides definitions for weak solutions, subsolutions, and supersolutions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
Article
Mathematics, Applied
Shangshuai Li, Da-jun Zhang
Summary: In this paper, the Cauchy matrix structure of the spin-1 Gross-Pitaevskii equations is investigated. A 2 x 2 matrix nonlinear Schrodinger equation is derived using the Cauchy matrix approach, serving as an unreduced model for the spin-1 BEC system with explicit solutions. Suitable constraints are provided to obtain reductions for the classical and nonlocal spin-1 GP equations and their solutions, including one-soliton solution, two-soliton solution, and double-pole solution.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2024)
