Article
Mathematics, Applied
Ufuk Sevim, Leyla Goren-Sumer
Summary: This article addresses the consensus problem of multiagent systems with double integrator dynamics under nonuniform sampling. The maximum sampling time is arbitrarily selected and the communication graph can change to any possible topology as long as certain conditions are met. A controller is shown to ensure consensus when the changing topology graphs are undirected and have a spanning tree. Explicit bounds for controller parameters are given. A sufficient condition is provided based on making the closed loop system matrix a contraction using a particular coordinate system for general linear dynamics. The condition can be applied to changing topology in the case of undirected topology graphs, and explicit bounds on the controller for double integrator dynamics are obtained.
Article
Automation & Control Systems
Zhen Tang, Ziyang Zhen, Zhengen Zhao
Summary: This article addresses the distributed H-8 consensus control problem of general linear multiagent systems with time-varying communication delays and external disturbances. A novel distributed state feedback control protocol is proposed to achieve state consensus over undirected fixed topology while guaranteeing a prescribed disturbance rejection objective. The results show that the proposed approach can accommodate arbitrarily bounded nonuniform time-varying communication delays and has better consensus performance.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2023)
Article
Automation & Control Systems
Sheng Han, Qishui Zhong, Yang Wang, Kaibo Shi, Shouming Zhong
Summary: This paper investigates the consensus issue of nonlinear multiagent systems with intrinsic time-varying delays. A nonfragile and aperiodic memory sampled-data control scheme is proposed. An improved continuous Lyapunov-Krasovskii functional is introduced and several sufficient criteria for the consensus are presented. The required controller gain and the maximal sampling period are derived using linear matrix inequalities.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2022)
Article
Automation & Control Systems
Gang Wang
Summary: This article presents new distributed consensus algorithms that can handle mismatched uncertainties in higher order multiagent systems. The developed algorithm can accommodate nonuniform communication delays and only requires minimal information from neighboring agents to achieve consensus. Additionally, the article applies the algorithm to solve the rendezvous control problem for networked nonholonomic mobile robots and demonstrates that the rendezvous errors can be minimized by tuning the design parameters. Comparative simulations are performed to validate the algorithms.
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
(2023)
Article
Mathematics, Interdisciplinary Applications
N. Sakthivel, Yong-Ki Ma, M. Mounika Devi, G. Manopriya, V. Vijayakumar, Mooyul Huh
Summary: This paper discusses the problem of exponential synchronization of semi-Markov jump stochastic complex dynamical networks using nonuniform sampled-data control with random delayed information exchanges among dynamical nodes. The random delayed information exchanges are modeled by a Bernoulli distribution, and stochastic variables are used to capture the randomness. To achieve exponential synchronization, a nonuniform sampled-data control approach is designed. Sufficient criteria in terms of linear matrix inequalities are obtained by constructing an appropriate Lyapunov-Krasovskii functional and using the Wirtinger inequality. Numerical examples are implemented to demonstrate the effectiveness and superiority of the proposed design techniques.
Article
Engineering, Civil
Sheng Han, Hong Zhu, Qishui Zhong, Kaibo Shi, Oh-Min Kwon
Summary: This paper studies the secure sampled-data consensus of multi-agent systems (MASs) under asynchronous independent deception attacks and multiplicative control gain disturbances. It proposes a looped Lyapunov-Krasovskii functional (LKF) approach and a coupled memory-based sampled-data control scheme to ensure the system's performance.
IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS
(2023)
Article
Automation & Control Systems
Shiming Chen, Xiujuan Zhao, Zheng Zhang, Yuanshi Zheng
Summary: This paper investigates the consensus tracking problem of nonlinear MASs with nonuniform time-varying input delays and external disturbances. The authors employ disturbance and state observers for each follower to estimate disturbances and unmeasured states, and propose a distributed observer based on output-feedback to approximate the leader's states. They then convert the consensus tracking control into a stability control problem and present a distributed controller based on the truncated prediction approach. The effectiveness of the theoretical results is verified using a group of single-link manipulators.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Guanglei Zhao, Changchun Hua
Summary: This article proposes a hybrid system approach for sampled-data-based leader-following consensus of multiagent systems over a static/switching directed network. By introducing an asynchronous sampled-data hybrid consensus control protocol and constructing a hybrid model, better transient consensus performance can be achieved and a larger upper bound of sampling period can be obtained.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
Kuo Li, Chang-Chun Hua, Xiu You
Summary: This article addresses the distributed asynchronous consensus problem for nonlinear multiagent systems with switching topologies. A distributed asynchronous switched observer and output feedback distributed controller are developed for each follower, ensuring all agents achieving a consensus. Compared with existing research, the proposed method considers more conditions of topologies and provides a new approach to solve the problem.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Computer Science, Information Systems
Yao Zou, Hongji Liu, Kewei Xia, Sujie Zhang, Yongmei Wu, Danyong Li, Zongyu Zuo
Summary: This paper investigates the combined effect of input saturations and communication delays on the multi-agent consensus over a switching topology of weak connectivity. It is demonstrated that the conventional distributed protocols can still guarantee consensus results despite the simultaneous existence of input saturations and communication delays. The consensus results are robust against arbitrary asymmetric input saturations and bounded communication delays. Simulations are carried out to verify the findings.
INFORMATION SCIENCES
(2023)
Article
Automation & Control Systems
Shuyuan Zhang, Lei Wang, Bai Xue, Chanying Li, Qing-Guo Wang
Summary: This article focuses on the consensus verification of heterogeneous polynomial networked systems (HPNSs) using a distributed nonlinear control protocol. The necessary condition for achieving consensus for HPNSs is presented, and multiple consensus criteria are proposed using polynomial Lyapunov functions under undirected and directed graphs. Compared to existing criteria based on quadratic Lyapunov functions, the results are less conservative and more general. The consensus verification problem is then transformed into a sum-of-squares optimization problem for finding polynomial Lyapunov functions. The theoretical and algorithmic developments are demonstrated through numerical examples, showing the effectiveness of the proposed method for fully automatic consensus verification of HPNSs.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Yanyan Ye, Siqin Liao, Yuanqing Wu, Mali Xing
Summary: This paper investigates the consensus problem of fractional-order multi-agent systems with the order alpha satisfying alpha is an element of (0, 1]. A novel distributed control protocol is constructed, which utilizes only past sampled position data of neighbors. Based on Laplace transform, Mittag-Leffler function, and matrix theory, necessary and sufficient criteria for consensus are established, depending on the order, coupling gains, sampling period, and communication topology. The intervals of coupling gains and sampling period for achieving consensus are presented. Numerical simulations validate the theoretical results.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Automation & Control Systems
Suoxia Miao
Summary: This paper investigates the consensus issue for multi-agent systems on matrix-weighted directed fixed and undirected switching network topologies using a sampled data control method. The distributed control laws are designed for each topology. Consensus conditions based on the sampling period and Laplacian matrix eigenvalues are derived for the directed fixed network topology, while consensus conditions based on the sampling period and switched network topologies are established for the undirected switching network topology. Two simulation examples are provided to validate the results.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2023)
Article
Computer Science, Artificial Intelligence
Haibo Gu, Kexin Liu, Jinhu Lu, Zhang Ren
Summary: This article addresses mean square consensus problems for stochastic dynamical nonlinear MASs in directed networks by designing proportional-integral (PI) protocols. By constructing appropriate Lyapunov functions, utilizing stochastic analysis technique and LaSalle's invariant principles, sufficient conditions are derived under which the stochastic dynamical MASs achieve consensus in mean square. Numerical simulations are presented to illustrate the validity of the main results.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2022)
Article
Automation & Control Systems
Xiaoyu Wang, Feng Xiao, Aiping Wang, Kaien Liu
Summary: This article investigates the practical average consensus problem of linear multiagent systems with model-based distributed asynchronous sampling. It considers both internal event-detecting delays and external network delays in systems, and addresses theoretical challenges brought by asynchronous setup using prediction models and artificial interpolation instants.
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
(2023)
Article
Computer Science, Artificial Intelligence
Xin Jin, Zhengxin Wang, Yuanzhen Feng, Yanling Lu, Chengdai Huang, Cong Zheng
Summary: This paper investigates the quasi-containment control problems of heterogeneous multiplex networks, proposing sufficient criteria for achieving quasi-containment control by applying impulsive control and jointly directed spanning tree. The upper bound of errors is closely related to the topology, coupling strength, and maximal impulsive interval of the multiplex networks. Results show that followers can achieve quasi-containment control in multiplex networks with time delays, and theoretical effectiveness is verified by a two layers network.
Article
Automation & Control Systems
Xin Jin, Zhengxin Wang, Huihui Yang, Qiang Song, Min Xiao
Summary: This paper investigates synchronization problems for multiplex networks with both interlayer and intra-layer couplings, proposing a pinning adaptive protocol and criteria for guaranteeing complete synchronization. Numerical simulations on two-layer and three-layer networks validate the effectiveness of the theoretical results.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Automation & Control Systems
Manyu Zhao, Zhengxin Wang, Jun Ye
Summary: This paper investigates the quasi-synchronization problem for a class of heterogeneous dynamical networks using a non-fragile memory sampled-data controller. A control scheme with norm-bounded uncertainty and constant signal transmission delay is designed to consider controller gain fluctuation and communication delay. Theoretical results are illustrated through numerical examples to show the effectiveness of the proposed approach.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2021)
Article
Automation & Control Systems
Zhengxin Wang, Haibo He, Guo-Ping Jiang, Jinde Cao
Summary: This paper investigates quasi-synchronization in networked heterogeneous harmonic oscillators, proposing two distributed synchronization protocols and establishing sufficient conditions for quasi-synchronization. The theoretical results are illustrated through an electrical network and the effectiveness of the sufficient criteria is demonstrated with two examples.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Computer Science, Artificial Intelligence
Chongfang Jin, Zhengxin Wang, Longyan Gong, Min Xiao, Guo-Ping Jiang
Summary: This paper studies the problem of quasi-synchronization in heterogeneous Lur'e networks with uncertain parameters and impulsive effect. It discusses quasi-synchronization instead of synchronization due to the heterogeneity of the networks. Uncertain parameters are introduced to the system to account for the uncertainties in reality. The paper derives the sufficient criteria for achieving quasi-synchronization in the heterogeneous networks using the Schur complement lemma, stability theory, and the principle of comparison. The upper bound of exponential quasi-synchronization errors is calculated. Additionally, two corollaries are presented for homogeneous systems and weighted undirected graphs. Numerical simulations are conducted to demonstrate the effectiveness of the control protocol and theoretical results.
Article
Mathematics, Applied
Sangli Shi, Zhengxin Wang, Qiang Song, Min Xiao, Guo-Ping Jiang
Summary: This paper investigates the leader-following quasi-bipartite synchronization problem of coupled heterogeneous harmonic oscillators under an undirected communication topology. Two asynchronous event triggered protocols are proposed to save limited resources and alleviate communication burden. Sufficient criteria are derived to ensure quasi bipartite synchronization using differential equation theory, inequality theory, and Lyapunov stability method. The paper also shows that there is no Zeno behavior for the proposed event-triggered protocols. Furthermore, an upper bound of quasi-bipartite synchronization errors is explicitly provided. Numerical examples are given to illustrate the effectiveness of the theoretical results.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Mathematics, Interdisciplinary Applications
Feilong Wang, Min Xiao, Zhengxin Wang, Jing Zhao, Gong Chen, Jinde Cao
Summary: In this paper, a time-delay ecological competition system with food restriction and diffusion terms under Neumann boundary conditions is proposed. The conditions for local asymptotic stability and Turing instability are constructed for the case without delay. For the case with delay, the existence of Hopf bifurcation is demonstrated by analyzing the root distribution of the corresponding characteristic equations. Explicit formulas are obtained to determine the direction of bifurcations and the stability of bifurcating periodic solutions using the normal form theory and the center manifold reduction of partial functional differential equations. Some simulation examples are provided to substantiate the analysis.
Article
Mathematics, Interdisciplinary Applications
Jing Chen, Min Xiao, Xiaoqun Wu, Zhengxin Wang, Jinde Cao
Summary: This paper investigates the stability and Hopf bifurcation problems on a class of high-order reaction-diffusion neural networks with conical structure and signal transmission delays. The local stability and Hopf bifurcation of the system are established by selecting the time delay as a bifurcation parameter. Furthermore, the effects of diffusion terms on the spatial distribution of periodic solutions are explored.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Automation & Control Systems
Zhengxin Wang, Xin Jin, Lijun Pan, Yuanzhen Feng, Jinde Cao
Summary: This article investigates the quasi-synchronization problems of delayed multiplex networks with stochastic perturbations. A novel impulsive pinning scheme is designed to achieve stochastic quasi-synchronization, with the introduction of a virtual leader. The theoretical results are validated using two-layer Newman-Watts (NW) small-world networks and two-layer Barabasi-Albert (BA) scale-free networks.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Computer Science, Artificial Intelligence
Jiuyu Yang, Zhengxin Wang, Yuanzhen Feng, Yanling Lu, Min Xiao, Cong Zheng
Summary: This paper investigates quasi-bipartite synchronization of heterogeneous memristive neural networks (MNNs) with cooperative-competitive interactions, considering nonidentical uncertain parameters. Firstly, robust quasi-bipartite synchronization of uncertain MNNs is studied using pinning control over the signed graph, and a sufficient condition is derived. Secondly, a more general heterogeneous MNNs over the signed graph is discussed, and the corresponding sufficient condition for quasi-bipartite synchronization is obtained. Moreover, upper bounds of quasi-bipartite synchronization for two kinds of MNNs are provided. Finally, two examples are given to demonstrate the theoretical results.
NEURAL COMPUTING & APPLICATIONS
(2023)
Article
Computer Science, Artificial Intelligence
Yunxiang Lu, Min Xiao, Jiajin He, Zhengxin Wang
Summary: A novel construction method for delayed neural networks with radial-ring configuration and bidirectional coupling is proposed. An effective analytical approach to dynamic performances of large-scale neural networks with multiple topologies is developed. Computer simulations confirm that increased transmission delay has a significant impact on the generation of Hopf bifurcation, and the number and self-feedback coefficient of neurons also play important roles in the appearance of periodic oscillations.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Automation & Control Systems
Zhengxin Wang, Sangli Shi, Wangli He, Min Xiao, Jinde Cao, Sergey Gorbachev
Summary: This article investigates the bipartite consensus of multiagent systems under unknown false data injection attacks. An extended observer and an observer-based event-triggered controller are proposed to compensate for the impact of attacks and save resources. Moreover, an observer-based fully asynchronous event-triggered controller is introduced. Sufficient criteria are deduced to guarantee bipartite consensus and rule out Zeno behavior. Numerical examples are provided to illustrate the effectiveness of the results derived.
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
(2023)
Article
Computer Science, Interdisciplinary Applications
Wentong Du, Min Xiao, Jie Ding, Yi Yao, Zhengxin Wang, Xinsong Yang
Summary: This paper proposes a delayed fractional-order predator-prey system with trans-species infectious diseases and implements the corresponding control strategy using fractional-order proportional-derivative (PD) control. The stability and bifurcation of the uncontrolled system are investigated, and the impacts of the controller on stability and bifurcation are explored. The effects of fractional order and control parameters on dynamics are also examined.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2023)
Article
Mathematics, Applied
Sijiao Sun, Zhengxin Wang, Chongfang Jin, Yuanzhen Feng, Min Xiao, Cong Zheng
Summary: This paper investigates point-to-point quasi-synchronization in a two-layer heterogeneous neural network system, which is more practical due to the presence of multiple subsystems and different types of interaction. The conditions for global exponential synchronization in the driving layer are derived, and the global point-to-point quasi-synchronization between the driver layer and response layer is studied under hybrid control and event-triggered control. The hybrid control strategy ensures that the event is triggered only when the trigger condition is violated, and dynamical adaptive control is also involved. The elimination of Zeno behavior is achieved through the application of Lyapunov method and matrix theory. A numerical example is provided to validate the theoretical results.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Computer Science, Artificial Intelligence
Jiajin He, Min Xiao, Jing Zhao, Zhengxin Wang, Yi Yao, Jinde Cao
Summary: The influence of network topology on the response dynamics of neural networks is still not completely understood. Understanding the relationship between topological structures and dynamics is crucial for understanding brain function. In this study, a new diffusion neural network model with a binary tree structure and multiple delays was proposed to explore the role of topological structures in the response dynamic. A novel full-dimensional nonlinear state feedback control strategy was also introduced to optimize relevant neurodynamics. The effectiveness of the proposed control strategy was demonstrated through numerical examples and comparative experiments.
