Article
Physics, Multidisciplinary
Xiu Zhao, Jian Liu, Fangfang Zhang, Cuimei Jiang
Summary: The paper discusses bi-stability and Hamilton energy in a one-parameter chaotic system in complex field, and proposes a complex generalized synchronization scheme based on Lyapunov stability theory for complex dynamical systems with complex parameters. Finally, the paper demonstrates CGS of coexisting chaotic attractors and two strictly different complex chaotic systems.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2021)
Article
Mathematics, Applied
Yali Guo, Han Zhang, Liang Wang, Huawei Fan, Jinghua Xiao, Xingang Wang
Summary: The study found that systems A and B with different parameters can achieve good synchronization, but if they differ in dynamics, the reservoir computer generally fails to synchronize with system B.
Article
Mathematics, Interdisciplinary Applications
Lin Xiao, Linju Li, Penglin Cao, Yongjun He
Summary: This paper proposes a fixed-time robust controller (FXTRC) based on the zeroing neural network (ZNN) to achieve generalized projective synchronization (GPS) of a class of chaotic systems. The theoretical analyses demonstrate the fixed-time synchronization and robustness of chaotic systems under the FXTRC. The upper bound of the synchronization time can be calculated using the Beta function when applying the FXTRC to control the GPS of chaotic systems. Numerical simulations validate the theoretical analyses and confirm the superiority of the FXTRC over previous control methods.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Multidisciplinary Sciences
Jianxiang Yang, Jianbin Xiong, Jian Cen, Wei He
Summary: This paper focuses on the finite-time generalized synchronization problem of non-identical fractional order chaotic (or hyper-chaotic) systems by designing an adaptive sliding mode controller. The effects of disturbances and model uncertainties are taken into account. The proposed approach is validated through numerical simulations, and a novel speech cryptosystem is proposed based on the generalized finite-time synchronization criterion.
Article
Multidisciplinary Sciences
Nir Lahav, Irene Sendina-Nadal, Chittaranjan Hens, Baruch Ksherim, Baruch Barzel, Reuven Cohen, Stefano Boccaletti
Summary: This study analyzes the relationship between chaotic synchronization and multifractal attractors by examining the microscopic description of synchronization called topological synchronization. The authors find that the multifractal structures of the coupled oscillators continuously converge, taking a similar form, until complete topological synchronization occurs. This provides new insights into the process, revealing a microcosmic buildup and the presence of a distinctive pattern in the multifractal structure.
SCIENTIFIC REPORTS
(2022)
Article
Mathematics, Interdisciplinary Applications
Jian Liu, Guanrong Chen, Xiu Zhao
Summary: This paper investigates generalized synchronization and parameter identification for complex-valued dynamical systems, proposing a method based on a complex-valued vector mapping. By utilizing Lyapunov stability theory and adaptive control method, sufficient criteria are established to achieve generalized synchronization for different-dimensional complex-variable chaotic systems, and necessary and sufficient criteria are derived to ensure complex parameters identification. The theoretical results are verified through simulation examples with reduced-order and increased-order systems.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2021)
Article
Mathematics, Interdisciplinary Applications
A. Ruiz-Silva, H. E. Gilardi-Velazquez, Eric Campos
Summary: This work addresses the synchronization problem of complex dynamical networks with bidirectional, linear, and diffusive coupling, where the nodes have dynamics described by a particular class of piecewise linear (PWL) systems. The study shows that by adjusting the inner and external coupling matrix as well as initial conditions, the network nodes can achieve complete or partial synchronization, and even exhibit synchronous behavior similar to master-slave synchronization. The theoretical results are consistent with numerical simulations for a set of nodes in different topology networks.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Physics, Multidisciplinary
Yanan Xing, Wenjie Dong, Jian Zeng, Pengteng Guo, Jing Zhang, Qun Ding
Summary: In this paper, a generalized synchronization method incorporating error-feedback coefficients into the controller based on the generalized chaos synchronization theory and stability theorem for nonlinear systems is proposed. The dynamics of two constructed discrete chaotic systems are analyzed and their phase diagrams, Lyapunov exponent diagrams, and bifurcation diagrams are shown. Experimental results demonstrate the feasibility of the design of an adaptive generalized synchronization system under certain conditions of the error-feedback coefficient. Finally, a chaotic hiding image encryption transmission system based on a generalized synchronization approach is proposed, introducing an error-feedback coefficient into the controller.
Article
Chemistry, Multidisciplinary
Bin Zhen, Yu Zhang
Summary: This study presents a new method to achieve generalized function projective synchronization (GFPS) between two different chaotic systems with uncertain parameters. By converting the differential equations of the synchronization error systems into Volterra integral equations through Laplace transform and convolution theorem, the GFPS condition is derived. The approach utilizes the successive approximation method to solve the integral equations. Compared to other methods, the proposed approach has fewer restrictions on uncertain parameters and simpler physically realizable parameter update laws.
APPLIED SCIENCES-BASEL
(2023)
Article
Engineering, Electrical & Electronic
Oscar Martinez-Fuentes, Juan Javier Montesinos-Garcia, Jose Francisco Gomez-Aguilar
Summary: This work focuses on a class of chaotic nonlinear fractional systems called Liouvillian systems to address the issue of generalized synchronization. By expressing the master and slave systems in the Fractional Generalized Observability Canonical Form (FGOCF) and designing a fractional-order dynamical control law, generalized synchronization is achieved. An encryption algorithm for color images is introduced, allowing for data decryption without loss, and numerical examples are provided to illustrate synchronization and its applications.
DIGITAL SIGNAL PROCESSING
(2022)
Article
Mathematics, Interdisciplinary Applications
Muhammad Marwan, Muhammad Zainul Abidin, Humaira Kalsoom, Maoan Han
Summary: In this paper, we designed a generalized observer using Lyapunov theory and Linear Matrix Inequalities (LMI) to add complexity in the output of dynamic systems. By minimizing the trajectory error between master and slave systems, subject to incremental quadratic constraint, our observer is optimized. We provided an algorithm for obtaining desired observer and gain matrixes using LMI and incremental multiplier matrix (IMM), and discussed two examples to demonstrate the achieved analytical results through MATLAB and SCILAB.
FRACTAL AND FRACTIONAL
(2022)
Article
Engineering, Mechanical
Ru-ru Ma, Jie Wu, Kexing Wu, Xiaohong Pan
Summary: This paper combines adaptive control and fixed-time control strategies to achieve fixed-time synchronization of master-slave Lorenz systems. This method does not require pre-selection of controlling gains and avoids chattering behavior by eliminating the use of the signum function. The synchronizing condition is deduced based on the theory of fixed-time stability, and the upper bound of settling time is independent of the initial states of Lorenz systems. Experimental results validate the effectiveness of this method in synchronizing finance systems.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Applied
Tongfeng Weng, Huijie Yang, Jie Zhang, Michael Small
Summary: Chaotic systems are common in the real world, but it is often difficult to obtain analytical models. We propose a machine-learning method called reservoir computing as an alternative approach to model chaotic systems, which is more feasible compared to conventional dynamical equations.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Computer Science, Information Systems
Rongwei Guo, Yi Qi
Summary: This paper investigates partial anti-synchronization in chaotic and hyper-chaotic systems, proving the existence of partial anti-synchronization in chaotic systems and deriving solutions using systematic methods. Physical controllers are designed and numerical simulations are used to verify the theoretical results.
Article
Chemistry, Multidisciplinary
Jacek Kabzinski, Przemyslaw Mosiolek
Summary: This study addresses and solves the problem of master-slave synchronization of two different chaotic systems under a novel set of assumptions. A new approach is proposed, which is based on the active cooperation of the adaptive observer of the master system and adaptive controller of the slave, while avoiding overparameterization through the tuning function technique. The stability of the closed-loop system is derived using Lyapunov techniques, and implementation examples are provided.
APPLIED SCIENCES-BASEL
(2022)
Article
Computer Science, Artificial Intelligence
Xingxing Ju, Chuandong Li, Hangjun Che, Xing He, Gang Feng
Summary: This article proposes a novel fixed-time converging proximal neurodynamic network (FXPNN) to deal with equilibrium problems (EPs). The FXPNN shows better transient performance compared to most existing proximal neurodynamic networks and converges to the solution in fixed-time. It is applied to solve various optimization problems and inequalities, and its effectiveness and advantages are validated through numerical examples.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Engineering, Multidisciplinary
Zhengran Cao, Chuandong Li, Zhilong He, Xiaoyu Zhang, Le You
Summary: This paper investigates the synchronization problem of coupled stochastic reaction-diffusion neural networks with multiple weights and time delays using pinning impulsive control. Sufficient conditions are obtained to ensure synchronization, and a numerical simulation is conducted to verify the theoretical results.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2022)
Article
Mathematics, Applied
Shiju Yang, Chuandong Li, Xiping He, Wanli Zhang
Summary: This paper investigates the bipartite synchronization of coupled complex networks (CCNs) with signed graphs via variable-time impulsive (VTI) control. The VTI network models can be transformed into fixed-time impulsive CCNs using the B-equivalent technique. Assumptions are derived using 1-norm analytical techniques to ensure each solution of the coupled error nodes intersect each discontinuous impulsive surface exactly once. The paper presents sufficient conditions with theoretical demonstration to guarantee bipartite synchronization under mathematical induction, and simulation results show the effectiveness of the obtained results.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Mathematics, Applied
Lihua Tan, Chuandong Li, Xin Wang, Tingwen Huang
Summary: This paper addresses the problem of distributed adaptive synchronization for a certain class of unknown second-order nonlinear multiagent systems subjected to external disturbance. It proposes a neural network-based disturbance observer and a new distributed adaptive synchronization criterion based on the approximation capability of neural networks. It also explores the distributed adaptive synchronization criterion without velocity measurement feedback.
Article
Environmental Sciences
Xiaowei Ma, Dandan Liu, Danni Chen, Mei Wang, Chuandong Li
Summary: This paper studies the influencing factors and structural characteristics of rural household energy consumption and finds that the consumption of traditional low-quality energy accounts for a large proportion of total energy consumption in rural households. There are also regional heterogeneities. Family characteristics, family wealth, and energy conservation awareness have an impact on energy consumption, and households with high frequency of energy conservation behavior and strong policy perception reduce firewood consumption and increase the use of coal and electricity.
ENVIRONMENTAL SCIENCE AND POLLUTION RESEARCH
(2022)
Article
Engineering, Mechanical
Runting Gan, Chuandong Li
Summary: This paper aims to analyze the finite-time stability and finite-time contractive stability in nonlinear time-varying systems with saturated impulse inputs. By using theories of convex analysis, impulsive control, matrix inequality, and Lyapunov function, several results about finite-time stability and finite-time contractive stability are obtained and validated through simulation examples.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Mingchen Huan, Chuandong Li
Summary: In this paper, the problem of exponential synchronization of reaction-diffusion neural networks with sampled-data control is addressed using a looped-functional approach. By considering the transmission delay of the sampled-data controller, a two-sided looped-functional is designed to obtain less conservative synchronization conditions than those obtained with the traditional Lyapunov method. The research results are applied to Takagi-Sugeno (T-S) fuzzy models with reaction-diffusion terms, and numerical examples are presented to demonstrate the feasibility and effectiveness of the proposed methods.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Electrical & Electronic
Mohamed Al-Nahhal, Ibrahim Al-Nahhal, Octavia A. Dobre, Xiang Lin, Deyuan Chang, Chuandong Li
Summary: This paper proposes a neural network-based estimator for jointly estimating the linear and nonlinear signal-to-noise ratios. The estimator utilizes new input features based on the entropy of the received signal. The computational complexity of the proposed estimator is also analyzed. The results demonstrate the superior accuracy and computational complexity of the proposed estimator compared to existing neural network-based estimators.
IEEE PHOTONICS TECHNOLOGY LETTERS
(2023)
Article
Engineering, Electrical & Electronic
Yi Zhang, Jinrong Lin, Chuandong Li
Summary: The existing research on three-phase power flow in ungrounded distribution networks uses methods of presetting zero-sequence reference voltages and neutral point reference voltages, which cannot calculate the power flow in networks with non-zero neutral point voltages or zero-sequence voltages. In this paper, a three-phase power flow algorithm is proposed to overcome this limitation and accurately calculate the power flow in ungrounded distribution networks. The proposed algorithm constrains the zero-sequence currents of ungrounded winding nodes to zero, and theoretical analyses and mathematical derivations prove its applicability.
INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS
(2023)
Article
Automation & Control Systems
Zhengran Cao, Chuandong Li, Xiaoyu Zhang, Xujun Yang
Summary: The paper investigates the problem of robust exponential stabilization for T-S fuzzy stochastic dynamical networks (T-S FSDNs) based on the state-dependent impulsive controller. Some sufficient conditions are provided using B-equivalence approach such that every solution of considered systems intersects each impulsive surface exactly once. Then, meaningful sufficient criteria are obtained combining with the inequality technique and comparison principle to ensure the mean square stability of T-S fuzzy stochastic dynamical networks. The obtained results in the paper are less conservative and easy to verify compared to related results. Finally, two numerical simulations based on Ro$$ \ddot{o} $$ssler's system and Lorenz system demonstrate the effectiveness of the obtained theoretical results.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2023)
Article
Computer Science, Artificial Intelligence
Jing Xu, Chuandong Li, Xing He, Xiaoyu Zhang
Summary: This paper proposes a method for sparse signal and image reconstruction using projection neural networks. By designing the finite-time converging FtPNN and fixed-time converging FxtPNN, the stability and convergence properties are proven under specific conditions. Simulation examples are carried out to demonstrate the effectiveness of these two neural networks.
NEURAL COMPUTING & APPLICATIONS
(2023)
Article
Computer Science, Artificial Intelligence
Xiaoyu Zhang, Chuandong Li, Hongfei Li, Zhengran Cao
Summary: This article investigates the synchronization issue of a type of uncertain coupled neural networks involving time-varying delay with unmeasured or unknown bound by delayed impulsive control with distributed delay. A new Halanay-like delayed differential inequality is presented, and sufficient criteria are obtained to achieve global mu-synchronization of the delayed neural networks. A numerical simulation is provided to demonstrate the validity of the obtained theoretical results.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Automation & Control Systems
Hongjuan Wu, Chuandong Li, Yinuo Wang, Hao Deng
Summary: In this article, a novel class of mathematical models for uncertain switched nonlinear systems with saturation constraints on control signals is proposed. The robust stability of the system is analyzed using Lyapunov stability theory, polytopic representation approach, matrix inequality, and Schur complement. Design of the hybrid control gains and optimization problems for larger estimation of the attraction domain are also investigated. Simulation results show the feasibility and effectiveness of the proposed methods.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Xiaoyu Zhang, Chuandong Li, Hongfei Li, Jing Xu
Summary: This article addresses the synchronization issue for coupled neural networks with mixed couplings using delayed impulsive control. Novel delayed impulsive differential inequalities involving distributed-delay-dependent impulses are proposed, and sufficient criteria and distributed-delay-dependent impulsive controller are derived for CNNs with different topologies. With the use of matrix decomposition techniques, low-dimensional criteria suitable for large scale CNN applications are set out, and the theoretical results are validated through numerical examples involving various cases.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Lihua Tan, Xin Wang, Chuandong Li, Xing He
Summary: This investigation focuses on the leader-following consensus problem of nonlinear multiagent systems using the output feedback control mechanism and the event-triggered communication mechanism. A distributed event-based leader-following consensus protocol is proposed, which only requires agents' relative output measurements and neighboring information. Two event-triggered mechanisms are developed simultaneously, one for communication and another for controller update. It is proven that the developed event-triggered control protocol can solve the leader-following consensus problem and avoid Zeno behavior. Simulation examples demonstrate the effectiveness of the obtained results.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2022)
