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We consider multi-agent systems with cooperative interactions and study the convergence to consensus in the case of time-dependent connections, with possible communication failure. We prove a new condition ensuring consensus: we define a…

最优化与控制 · 数学 2025-09-03 Mohamed Bentaibi , Laura Caravenna , Jean-Paul A. Gauthier , Francesco Rossi

A new theorem on conditions for convergence to consensus of a multiagent time-dependent time-discrete dynamical system is presented. The theorem is build up on the notion of averaging maps. We compare this theorem to results by Moreau (IEEE…

最优化与控制 · 数学 2011-01-18 Jan Lorenz , Dirk A. Lorenz

A theorem on (partial) convergence to consensus of multiagent systems is presented. It is proven with tools studying the convergence properties of products of row stochastic matrices with positive diagonals which are infinite to the left.…

最优化与控制 · 数学 2015-03-17 Jan Lorenz

The paper presents a result which relates connectedness of the interaction graphs in a multi-agent systems with the capability for global convergence to a common equilibrium of the system. In particular we extend a previously known result…

最优化与控制 · 数学 2007-05-23 David Angeli , Pierre-Alexandre Bliman

This paper investigates the problem of securing exponentially fast consensus (exponential consensus for short) for identical agents with finite-dimensional linear system dynamics over dynamic network topology. Our aim is to find the weakest…

系统与控制 · 电气工程与系统科学 2023-03-02 Qichao Ma , Jiahu Qin , Brian D. O. Anderson , Long Wang

We study continuous-time consensus dynamics for multi-agent systems with undirected switching interaction graphs. We establish a necessary and sufficient condition for exponential asymptotic consensus based on the classical theory of…

系统与控制 · 计算机科学 2016-08-10 Brian D. O. Anderson , Guodong Shi , Jochen Trumpf

In this paper, we present new results on consensus for continuous-time multi- agent systems. We introduce the assumptions of persistent connectivity of the interaction graph and of slow divergence of reciprocal interaction weights.…

最优化与控制 · 数学 2012-11-07 Samuel Martin , Antoine Girard

We present two main theorems along the lines of Lyapunov's second method that guarantee asymptotic state consensus in multi-agent systems of agents in R^m with switching interconnection topologies. The two theorems complement each other in…

系统与控制 · 计算机科学 2014-04-02 Johan Thunberg , Xiaoming Hu

This paper studies a consensus problem in multidimensional networks having the same agent-to-agent interaction pattern under both intra- and cross-layer time delays. Several conditions for the agents to asymptotically reach a consensus are…

系统与控制 · 电气工程与系统科学 2025-07-01 Hoang Huy Vu , Quyen Ngoc Nguyen , Tuynh Van Pham , Chuong Van Nguyen , Minh Hoang Trinh

For networked systems, Persistent Excitation and Integral Scrambling Condition are conditions ensuring that communication failures between agents can occur, but a minimal level of service is ensured. We consider cooperative multi-agent…

最优化与控制 · 数学 2024-07-16 Fabio Ancona , Mohamed Bentaibi , Francesco Rossi

The leader-following consensus problem for general linear multi-agent systems over jointly connected switching networks has been a challenging problem and the solvability of the problem has been limited to the class of linear multi-agent…

最优化与控制 · 数学 2026-03-20 Yuhan Chen , Tao Liu , Jie Huang

We prove that a first-order cooperative system of interacting agents converges to consensus if the so-called Persistence Excitation condition holds. This condition requires that the interaction function between any pair of agents satisfies…

最优化与控制 · 数学 2024-03-13 Fabio Ancona , Mohamed Bentaibi , Francesco Rossi

In this paper we investigate the problem of the sudden disconnection of an edge in a discrete-time multi-agent consensus network. If the graph remains strongly connected, the multi-agent system still achieves consensus, but in general,…

系统与控制 · 电气工程与系统科学 2021-01-19 Gianfranco Parlangeli , Maria Elena Valcher

This paper investigates agreement protocols over cooperative and cooperative--antagonistic multi-agent networks with coupled continuous-time nonlinear dynamics. To guarantee convergence for such systems, it is common in the literature to…

多智能体系统 · 计算机科学 2015-08-06 Ziyang Meng , Guodong Shi , Karl Henrik Johansson

In this paper, we study a convergence condition for asynchronous consensus problems in multi-agent systems. The convergence in this context implies the asynchronous consensus value converges to the synchronous one and is unique. Although it…

系统与控制 · 计算机科学 2016-06-15 Kooktae Lee , Raktim Bhattacharya

In this article, we establish exponential contraction results for the diameter and variance of general first-order multiagent systems. Our approach is based on compactification techniques, and works under rather mild assumptions. Namely, we…

最优化与控制 · 数学 2024-06-06 Benoît Bonnet-Weill , Mario Sigalotti

We consider continuous-time consensus seeking systems whose time-dependent interactions are cut-balanced, in the following sense: if a group of agents influences the remaining ones, the former group is also influenced by the remaining ones…

系统与控制 · 计算机科学 2013-04-29 Julien M. Hendrickx , John N. Tsitsiklis

In this paper, we study the consensus problem for continuous-time and discrete-time multi-agent systems in state-dependent switching networks. In each case, we first consider the networks with fixed connectivity, in which the communication…

系统与控制 · 计算机科学 2014-12-17 Gangshan Jing , Yuanshi Zheng , Long Wang

This paper studies deterministic consensus networks with discrete-time dynamics under persistent flows and non-reciprocal agent interactions. An arc describing the interaction strength between two agents is said to be persistent if its…

系统与控制 · 计算机科学 2017-06-06 Weiguo Xia , Guodong Shi , Ziyang Meng , Ming Cao , Karl Henrik Johansson

The constrained consensus problem considered in this paper, denoted interval consensus, is characterized by the fact that each agent can impose a lower and upper bound on the achievable consensus value. Such constraints can be encoded in…

系统与控制 · 计算机科学 2018-02-06 Angela Fontan , Guodong Shi , Xiaoming Hu , Claudio Altafini
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