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This paper proposes a class of distributed event-triggered algorithms that solve the average consensus problem in multi-agent systems. By designing events such that a specifically chosen Lyapunov function is monotonically decreasing,…

Multiagent Systems · Computer Science 2024-09-23 Ping Xu , Cameron Nowzari , Zhi Tian

Two finite-time consensus protocols are proposed for multi-dimensional multi-agent systems, using direction-preserving and component-wise signum controls respectively. Filippov solutions and non-smooth analysis techniques are adopted to…

Optimization and Control · Mathematics 2017-05-08 Jieqiang Wei , Bart Besselink , Junfeng Wu , Henrik Sandberg , Karl H. Johansson

Stability of synchronization in unidirectionally coupled time-delay systems is studied using the Krasovskii-Lyapunov theory. We have shown that the same general stability condition is valid for different cases, even for the general…

Chaotic Dynamics · Physics 2015-05-13 D. V. Senthilkumar , J. Kurths , M. Lakshmanan

This paper is devoted to stability analysis of discrete-time delay systems based on a set of Lyapunov-Krasovskii functionals. New multiple summation inequalities are derived that involve the famous discrete Jensen's and Wirtinger's…

Optimization and Control · Mathematics 2016-10-26 Eva Gyurkovics , Krisztina Kiss , Ilona Nagy , Tibor Takacs

This work is concerned with stochastic consensus conditions of multi-agent systems with both time-delays and measurement noises. For the case of additive noises, we develop some necessary conditions and sufficient conditions for stochastic…

Systems and Control · Computer Science 2018-04-20 Xiaofeng Zong , Tao Li , Ji-Feng Zhang

This article investigates the consensus tracking problem of multi-agent systems under jointly connected topology through automated synthesis of Lyapunov functions. Based on the proposed distributed nonlinear control protocol, several…

Optimization and Control · Mathematics 2026-05-28 Shuyuan Zhang , Lei Wang , Qing-Guo Wang

We analyze stability of consensus algorithms in networks of multi-agents with time-varying topologies and delays. The topology and delays are modeled as induced by an adapted process and are rather general, including i.i.d.\ topology…

Dynamical Systems · Mathematics 2011-06-07 Wenlian Lu , Fatihcan M. Atay , Jurgen Jost

This article investigates discrete-time matrix-weighted consensus of multi-agent networks over undirected and connected graphs. We first present consensus protocols for the agents in common networks of symmetric matrix weights with possibly…

Optimization and Control · Mathematics 2021-03-25 Quoc Van Tran , Minh Hoang Trinh , Hyo-Sung Ahn

In this paper, we study finite-time state consensus problems for continuous nonlinear multi-agent systems. Building on the theory of finite-time Lyapunov stability, we propose sufficient criteria which guarantee the system to reach a…

Information Theory · Computer Science 2009-09-18 Yilun Shang

This work is devoted to investigate the stability properties of time-delay reset systems. We present a Lyapunov-Krasovskii proposition, which generalizes the available results in the literature, providing results for verifying the stability…

Systems and Control · Computer Science 2016-07-11 Alfonso Baños , Miguel A. Davó

Consensus of autonomous agents is a benchmark problem in multi-agent control. In this paper, we consider continuous-time averaging consensus policies (or Laplacian flows) and their discrete-time counterparts over time-varying graphs in…

Optimization and Control · Mathematics 2021-05-18 Anton V. Proskurnikov , Giuseppe Carlo Calafiore

Collaboration between interconnected cyber-physical systems is becoming increasingly pervasive. Time-delays in communication channels between such systems are known to induce catastrophic failure modes, like high frequency oscillations in…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Shankar A. Deka , Donggun Lee , Claire J. Tomlin

In this paper, we study Hegselmann-Krause models with a time-variable time delay. Under appropriate assumptions, we show the exponential asymptotic consensus when the time delay satisfies a suitable smallness assumption. Our main strategies…

Analysis of PDEs · Mathematics 2019-09-09 Young-Pil Choi , Alessandro Paolucci , Cristina Pignotti

This paper addresses the robust consensus problem under switching topologies. Contrary to existing methods, the proposed approach provides decentralized protocols that achieve consensus for networked multi-agent systems in a predefined…

Optimization and Control · Mathematics 2019-08-02 R. Aldana-López , D. Gómez-Gutiérrez , M. Defoort , J. D. Sánchez-Torres , A. J. Muñoz-Vázquez

This paper considers the consensusability of multi-agent systems with delay and packet dropout. By proposing a kind of predictor-like protocol, sufficient and necessary conditions are given for the mean-square consensusability in terms of…

Optimization and Control · Mathematics 2018-04-23 Juanjuan Xu , Huanshui Zhang , Lihua Xie

This paper focuses on the dynamical properties of delayed complex balanced systems. We first study the relationship between the stoichiometric compatibility classes of delayed and non-delayed systems. Using this relation we give another way…

Dynamical Systems · Mathematics 2024-03-14 Xiaoyu Zhang , Tian Zhang , Chuanhou Gao

Many algorithms have been proposed in prior literature to guarantee resilient multi-agent consensus in the presence of adversarial attacks or faults. The majority of prior work present excellent results that focus on discrete-time or…

Systems and Control · Electrical Eng. & Systems 2020-03-23 James Usevitch , Dimitra Panagou

In this technical note we address the problem of achieving consensus in a network of homogeneous nonlinear systems. The communication network is supposed to be switching within a finite set of topologies which may be disconnected for finite…

Optimization and Control · Mathematics 2014-09-16 G. Casadei , L. Marconi , A. Isidori

We study the effect of communication delays on distributed consensus algorithms. Two ways to model delays on a network are presented. The first model assumes that each link delivers messages with a fixed (constant) amount of delay, and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-26 Konstantinos I. Tsianos , Michael G. Rabbat

This paper presents a distributed position synchronization strategy that also preserves the initial communication links for single-integrator multi-agent systems with time-varying delays. The strategy employs a coordinating proportional…

Optimization and Control · Mathematics 2018-03-23 Yuan Yang , Yang Shi , Daniela Constantinescu