Article
Mathematics, Interdisciplinary Applications
Deli Xuan, Ze Tang, Jianwen Feng, Ju H. Park
Summary: This paper presents a method for globally and exponentially adaptive cluster synchronization for non-linearly and nonidentically coupled Lur'e dynamical networks, achieving cluster synchronization through a delayed impulsive pinning control protocol to save control costs, with the effectiveness of theoretical analysis and control schemes demonstrated through numerical experiments.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Computer Science, Artificial Intelligence
Xin Zhang, Wuneng Zhou, Hamid Reza Karimi, Yuqing Sun
Summary: This article investigates the cluster synchronization problem of a class of nonlinearly coupled delayed neural networks in both finite-time and fixed-time cases. Criteria for ensuring cluster synchronization are provided based on Lyapunov stability theory and pinning control strategy. The settling time for stabilization, dependent on the initial value and independent of the initial value, is estimated. The feasibility and practicality of the results are illustrated through a numerical example.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2021)
Article
Automation & Control Systems
Jianwen Feng, Jingxin Chen, Jingyi Wang, Yi Zhao
Summary: This paper investigates the exponential synchronization problem for complex networks with hybrid delays using the event intermittent control (EIC) strategy. A modified lemma related to delays is derived without pre-designing intermittent instants, and synchronization criteria with less conservatism are established using linear matrix inequalities (LMIs). The effectiveness of the proposed EIC strategy is verified through simulations of a numerical example.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Qiushi He, Yuechao Ma
Summary: This article studies preassigned-time and fixed-time cluster synchronization of multi-weighted complex networks with stochastic disturbances through designing quantized adaptive pinning control scheme. The study proposes FXT synchronization criteria and investigates the PAT cluster synchronization by utilizing a novel control scheme. The effectiveness of theoretical results is demonstrated through simulations.
NONLINEAR ANALYSIS-HYBRID SYSTEMS
(2022)
Article
Computer Science, Information Systems
Zhenyu Wu, Jieren Pei, Xuexi Zhang, Jie Tao, Renquan Lu
Summary: This article explores the problem of pinning synchronization in complex dynamical networks with Markov topologies. An adaptive event-triggered protocol is developed to reduce communication demands and simplify implementation. A T-S fuzzy model is introduced to linearize adaptive triggering conditions, and a fuzzy controller is designed for better synchronization performance. The article also presents switched and asynchronous pinning strategies using convex optimal techniques. Examples of circular trail and Chua's circuits are provided to demonstrate the feasibility of the proposed synchronization laws.
INFORMATION SCIENCES
(2023)
Article
Mathematics, Applied
Shirin Panahi, Matteo Lodi, Marco Storace, Francesco Sorrentino
Summary: This paper studies the network pinning control problem in the presence of two different types of coupling. The stability analysis of the target synchronous solution is decoupled into subproblems using simultaneous block diagonalization of matrices. The main result is a decomposition of the stability problem into four independent sets of equations.
Article
Automation & Control Systems
Shuyuan Zhang, Lei Wang, Quanyi Liang, Zhikun She, Qing-Guo Wang
Summary: This article investigates the application of polynomial Lyapunov functions beyond the quadratic form in the synchronization problems of nonlinearly coupled complex networks. A synchronization criterion is established for nonlinearly coupled networks with asymmetric coupling matrices under a relaxed assumption than the quadratic condition. The synchronization problem for polynomial networks is characterized as the sum-of-squares (SOS) optimization one, and efficient solutions can be obtained using SOS programming tools. The effectiveness and less conservatism of the analytical results are verified through numerical examples.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Xuefei Wu, Jianwen Feng, Zhe Nie
Summary: This paper addresses the outer exponential synchronization of complex dynamical networks with time-varying delays, proposing intermittent pinning control and deriving novel sufficient conditions using the Lyapunov functional method. Two numerical examples are presented to demonstrate the effectiveness of the control protocols in achieving synchronization.
Article
Computer Science, Artificial Intelligence
Ling Liu, Xiangwu Ding, Wuneng Zhou
Summary: This paper focuses on cluster synchronization problem in a class of uncertain complex dynamical networks with switching signal and nonlinear coupled properties, establishing conditions through switched system theory and matrix decomposition method for achieving desired performance in finite time. The methods and results can be applied to other more general systems, as demonstrated with a numerical example.
Article
Computer Science, Interdisciplinary Applications
Hai Lin, Jincheng Wang
Summary: This paper studies the pinning synchronization of complex networks with two different types of time-varying coupling, considering inner and outer coupling. General criteria and a simplified corollary for ensuring network synchronization are proposed based on Lyapunov function theory. Linear pinning controllers, adaptive pinning controllers, and adaptive coupling strength are designed for achieving time-varying synchronization, with the analytic relationship between control parameters studied and effectiveness illustrated through numerical simulations.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2021)
Article
Mathematics, Applied
Jin Cheng
Summary: This paper investigates the global exponential outer synchronization of coupled nonlinear systems with general coupling matrices using pinning impulsive control. It proposes novel and less restrictive synchronization criteria for more realistic and general partially coupled drive-response systems, where the communication channel matrix between coupled nodes may not be a permutation matrix. A numerical example is provided to demonstrate the effectiveness of the theoretical results.
Article
Automation & Control Systems
Sanbo Ding, Zhanshan Wang
Summary: This article presents a method for achieving synchronization of coupled neural networks using an event-dependent intermittent pinning controller. By utilizing the Lyapunov-Krasovskii functional and three partitions of non-negative real region, precise control of the controller's work/rest time is achieved. A numerical example is provided to demonstrate the effectiveness of the proposed method.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Binglong Lu, Haijun Jiang, Cheng Hu, Abdujelil Abdurahman, Mei Liu
Summary: This work aims to achieve cluster synchronization of a complex network by some pinning control strategies. The network is affected by various factors such as reaction-diffusion, directed coupling, stochastic noise, and Markovian switching. Different pinning control strategies are proposed to achieve cluster synchronization, and the theoretical results are verified through simulations.
Article
Computer Science, Artificial Intelligence
Yongkai Xie, Dongbing Tong, Qiaoyu Chen, Wuneng Zhou
Summary: The adaptive pinning control was used to investigate cluster synchronization in coupled neural networks (CNNs) with stochastic disturbances. Nodes in CNNs can only synchronize with the corresponding isolated nodes in the same cluster, and nodes have different synchronization status in different clusters. Adaptive pinning controllers were set on each cluster to achieve cluster synchronization, selecting appropriate pinning nodes and eliminating unknown feedback gain. Nonlinear functions in CNNs were approximated to linear functions using the NCF (acceptable nonlinear coupling function class) method. The mean-square exponential stability condition for CNNs under adaptive pinning control was derived using the M-matrix technique. The effectiveness of cluster synchronization under adaptive pinning control was verified through two simulations.
NEURAL PROCESSING LETTERS
(2023)
Article
Automation & Control Systems
Shixiang Sun, Tao Ren, Yanjie Xu
Summary: This paper investigates the pinning synchronization problem for multi-layer networks with dynamic uncertainties, approximated by a fuzzy logic system. The proposed pinning synchronization scheme is proven effective using Lyapunov stability theorem. A numerical example is provided to demonstrate the effectiveness of the proposed control scheme.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2021)
Article
Automation & Control Systems
Jianwen Feng, Le Zhang, Jingyi Wang, Yi Zhao
Summary: This paper addresses the synchronization of a class of delayed and nonlinearly coupled complex networks under discontinuous dynamics and exogenous disturbances. New sufficient criteria of synchronization are derived using Lyapunov stability theory, and two numerical simulations are presented to illustrate the main theoretical findings.
ASIAN JOURNAL OF CONTROL
(2021)
Article
Engineering, Electrical & Electronic
Jiayi Cai, Jianwen Feng, Jingyi Wang, Yi Zhao
Summary: This paper proposes a method for achieving leader-following synchronization of directly balanced coupled harmonic oscillator systems through event-triggered control, which can save network resources and effectively avoid the occurrence of Zeno behavior.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2021)
Article
Automation & Control Systems
Jingyi Wang, Jianwen Feng, Yijun Lou, Guanrong Chen
Summary: This article proposes a quantized sampled velocity data coupling protocol for synchronization of harmonic oscillators, designed by interconnecting velocities encoded by a uniform quantizer with a zooming parameter. Sufficient conditions for convergence to synchronized orbits and effectiveness of the proposed coupling protocols are demonstrated through numerical examples.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Automation & Control Systems
Xiaoli Ruan, Chen Xu, Jianwen Feng, Jingyi Wang, Yi Zhao
Summary: This article discusses the exponential synchronisation problem for multiple neural networks with time-varying delay, proposing two event-based time-varying delay hybrid impulsive control schemes to reduce communication redundancy. By establishing a delay impulsive differential inequality and introducing the average event-triggered delay impulsive gain, less conservative sufficient conditions are derived for ensuring stability of the networks. The Zeno behavior can be effectively eliminated and computing resource consumption reduced.
IET CONTROL THEORY AND APPLICATIONS
(2021)
Article
Engineering, Electrical & Electronic
Xiaoli Ruan, Jianwen Feng, Chen Xu, Jingyi Wang, Yi Zhao
Summary: This article considers the pinning control problem for the synchronization of switched impulsive complex networks with asynchronous switching. A pinning controller under the mode-dependent dynamic event-triggered scheme is designed to realize the synchronization and reduce the communication burden. The average dwell time method is used to develop a set of sufficient conditions for synchronization analysis. Moreover, the proposed control scheme can effectively eliminate Zeno behavior and reduce the consumption of computing resources.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2022)
Article
Automation & Control Systems
Jianwen Feng, Jingxin Chen, Jingyi Wang, Yi Zhao
Summary: This paper investigates the exponential synchronization problem for complex networks with hybrid delays using the event intermittent control (EIC) strategy. A modified lemma related to delays is derived without pre-designing intermittent instants, and synchronization criteria with less conservatism are established using linear matrix inequalities (LMIs). The effectiveness of the proposed EIC strategy is verified through simulations of a numerical example.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Engineering, Multidisciplinary
Jiayi Cai, Jianwen Feng, Jingyi Wang, Yi Zhao
Summary: This paper investigates the tracking consensus issue for second order multi-agent systems (MAS) under switching topologies by using a novel event-triggered sliding mode control strategy. The proposed control protocol, based on limited-information and dynamic sliding mode control mechanisms, compensates for the effect brought by event-triggered sampling and switching topologies. Through mathematical derivation, it is shown that the consensus error of the nonlinear multi-agent systems (NMAS) converges to an adjustable bounded set and the networked harmonic oscillator systems (NHOS) asymptotically reaches zero. Several numerical examples are provided to evaluate the efficiency of the proposed algorithms.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2022)
Article
Mathematics, Applied
Jianwen Feng, Yuankun Wu, Jingyi Wang, Yi Zhao
Summary: This paper investigates the leader-following quasi-consensus problem for heterogeneous multi-agent systems with switched cooperative-competitive interactions. The agents interact over a weighted undirected graph that includes both beneficial cooperative interactions and harmful competitive interactions to consensus. The coupling protocol is considered with and without time-varying delay. Based on graph theory and the Lyapunov functional method, sufficient conditions are obtained to ensure leader-following quasi-consensus of the heterogeneous multi-agent systems under arbitrary switching topologies. Simulation results are presented to illustrate the effectiveness of the theoretical results.
PHYSICA D-NONLINEAR PHENOMENA
(2023)
Article
Mathematics
Yilin Li, Chengbo Yi, Jianwen Feng, Jingyi Wang
Summary: This paper explores the quasi-synchronization of a general class of heterogeneous neural networks using an event-based impulsive control strategy. Instead of the traditional average impulsive interval (AII) method, an event-triggered mechanism (ETM) is employed to determine the impulsive instants, eliminating the subjectivity in selecting the controlling sequence. Furthermore, considering the inevitable communication delay between instruction allocation and execution, an ETM centered on communication delays and aperiodic sampling is proposed to avoid Zeno behavior.
Article
Engineering, Multidisciplinary
Jiayi Cai, Jingyi Wang, Jianwen Feng, Guanrong Chen, Yi Zhao
Summary: This paper investigates the observer-based event-triggered adaptive sliding mode control problem of semi-Markovian jumping multi-agent systems with unknown and uncertain bounded transfer probabilities. An innovative observer-based distributed event-triggered adaptive mechanism is proposed to reduce excessive network communication. Additionally, a novel integral sliding surface is constructed to withstand interferences. With the help of a stochastic semi-Markovian Lyapunov functional and linear matrix inequalities approaches, conditions are achieved to ensure that all agents can track the leader in the multi-agent systems.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2023)
Article
Mathematics
Xue Luo, Jingyi Wang, Jianwen Feng, Jiayi Cai, Yi Zhao
Summary: This paper presents a solution to the consensus problem for a particular category of uncertain switched multi-agent systems (MASs) using a neuroadaptive distributed dynamic event-triggered control (DETC) strategy. The proposed approach combines neural networks (NNs) adaptive control and DETC method to achieve practical ultimate mean square consensus (UMSBC) of MASs. The results demonstrate the feasibility of the proposed approach and its superiority over existing approaches.
Article
Mathematics
Jingyi Wang, Danqi Liu, Jianwen Feng, Yi Zhao
Summary: This paper discusses solutions for the distributed optimization coordination problem (DOCP) for heterogeneous multiagent systems under directed topologies. A novel convex optimization problem is proposed, which involves a weighted average of the objective function of each agent. Sufficient conditions are provided to guarantee the uniqueness of the DOCP solution. A distributed control mechanism is developed to drive the state of each agent to an auxiliary state within a finite time, even in the presence of external disturbances. It is demonstrated that the optimal value can be achieved for the outputs of all agents, ensuring global convergence. Furthermore, the controller design rule is extended with event-triggered communication, eliminating Zeno behavior. Finally, a simulation example is presented to illustrate the practicality of the theoretical conclusions.
Article
Engineering, Electrical & Electronic
Xingting Geng, Jianwen Feng, Na Li, Yi Zhao, Chengbo Yi, Jingyi Wang
Summary: This paper addresses the finite-time synchronization (FTS) of directed multiweighted complex networks (MWCNs) with stochastic perturbations using intermittent control. Unlike previous FTS approaches for single-weight networks, FTS of directed MWCNs is achieved by introducing an allowable deviation synchronization bound. A novel Lyapunov function is constructed by selecting a vector that satisfies the allowable deviation synchronization bound. Discontinuous intermittent control is used to achieve FTS due to limited resources. Theoretical results are validated through examples.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2023)
Article
Engineering, Multidisciplinary
Xiaoli Ruan, Jianwen Feng, Chen Xu, Jingyi Wang
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2020)
Article
Computer Science, Information Systems
Chengbo Yi, Chen Xu, Jianwen Feng, Jingyi Wang, Yi Zhao
