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We consider consensus of multi-agent systems as a dual problem to Markov processes. Based on an exchange of relevant notions and results between the two fields, we present a uniform framework which admits the introduction and treatment of…

Probability · Mathematics 2025-12-30 Fatihcan M. Atay

The leader-following consensus problem of multi-agent systems over finite fields ${\mathbb F}_p$ is considered in this paper. Dynamics of each agent is governed by a linear equation over ${\mathbb F}_p$, where a distributed control protocol…

Optimization and Control · Mathematics 2018-02-27 Xiangru Xu , Yiguang Hong

This paper addresses the challenge of network synchronization under limited communication, involving heterogeneous agents with different dynamics and various network topologies, to achieve consensus. We investigate the distributed adaptive…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Moh. Kamalul Wafi , Milad Siami

In this paper, we investigate a constrained optimal coordination problem for a class of heterogeneous nonlinear multi-agent systems described by high-order dynamics subject to both unknown nonlinearities and external disturbances. Each…

Optimization and Control · Mathematics 2022-04-26 Yutao Tang , Ding Wang

This paper studies the synchronization of a multi-agent system where the agents are coupled through heterogeneous controller gains. Synchronization refers to the situation where all the agents in a group have a common velocity direction. We…

Systems and Control · Computer Science 2016-03-15 Anoop Jain , Debasish Ghose

This paper presents a consensus algorithm for a multi-agent system where each agent has access to its imperfect own state and neighboring state measurements. The measurements are subject to deterministic disturbances and the proposed…

Systems and Control · Computer Science 2014-09-22 Mohammad Zamani , Iman Shames , Valery Ugrinovskii

Multiagent systems consist of agents that locally exchange information through a physical network subject to a graph topology. Current control methods for networked multiagent systems assume the knowledge of graph topologies in order to…

Optimization and Control · Mathematics 2015-01-15 Tansel Yucelen , John Daniel Peterson , Kevin L. Moore

This paper proposes a consensus controller for multi-agent systems that can guarantee the agents' safety. The controller, built with the idea of output prediction and the Newton-Raphson method, achieves consensus for a class of…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Kaicheng Niu , Chaouki Abdallah , Mohammad Hayajneh

The distributed optimal output consensus problem for high-order multi-agent systems has been studied recently. In this paper, we further focus on the same problem for high-order multi-agent systems subject to parametric uncertainties and…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Yutao Tang , Kui Zhu

This article deals with model- and data-based consensus control of heterogenous leader-following multi-agent systems (MASs) under an event-triggering transmission scheme. A dynamic periodic transmission protocol is developed to…

Systems and Control · Electrical Eng. & Systems 2023-09-15 Xin Wang , Jian Sun , Gang Wang , Jie Chen

A general sufficient condition for the convergence of subsequences of solutions of non-autonomous, nonlinear difference equations and systems is obtained. For higher order equations the delay sizes and patterns play essential roles in…

Dynamical Systems · Mathematics 2017-07-25 H. Sedaghat

Switching between finitely many continuous-time autonomous steepest descent dynamics for convex functions is considered. Convergence of complete solutions to common minimizers of the convex functions, if such minimizers exist, is shown. The…

Optimization and Control · Mathematics 2018-08-06 Rafal Goebel , Ricardo Sanfelice

In this paper, the consensus problems of the continuous-time integrator systems under noisy measurements are considered. The measurement noises, which appear when agents measure their neighbors' states, are modeled to be multiplicative. By…

Optimization and Control · Mathematics 2013-04-22 Yuan-Hua Ni , Xun Li

The dynamics of agent-based systems provide a framework to face the complexity of pedestrian-vehicle interactions in future cities, in which the compliance to traffic norms plays a fundamental role. The data of an observation performed at a…

Multiagent Systems · Computer Science 2017-12-06 Stefania Bandini , Luca Crociani , Giuseppe Vizzari , Flavio Soares Correa da Silva , Andrea Gorrini

We consider the distributed leader-follower consensus problem with event-triggered communications. The system under consideration is a non-linear input-affine multi agent system. The agents are assumed to have identical dynamics structure…

Optimization and Control · Mathematics 2023-03-06 Mathieu Marchand , Vincent Andrieu , Sylvain Bertrand , Hélène Piet-Lahanier

The paper is devoted to the approximate consensus problem for networks of nonlinear agents with switching topology, noisy and delayed measurements. In contrast to the existing stochastic approximation-based control algorithms (protocols), a…

Systems and Control · Computer Science 2013-06-17 Natalia Amelina , Alexander Fradkov , Yuming Jiang , Dimitrios J. Vergados

We study distributed output feedback control for a heterogeneous multi-agent system (MAS), consisting of N different continuous-time linear dynamical systems. For achieving output consensus, a virtual reference model is assumed to generate…

Optimization and Control · Mathematics 2016-10-31 Luis D. Alvergue , Abhishek Pandey , Guoxiang Gu , Xiang Chen

In a multi-agent system, unconditional (multiple) consensus is the property of reaching to (multiple) consensus irrespective of the instant and values at which states are initialized. For linear algorithms, occurrence of unconditional…

Dynamical Systems · Mathematics 2020-08-04 Sadegh Bolouki , Roland P. Malhame

We consider the problem of determining the existence of a sequence of matrices driving a discrete-time consensus system to consensus. We transform this problem into one of the existence of a product of the transition (stochastic) matrices…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-05 Pierre-Yves Chevalier , Julien M. Hendrickx , Raphaël M. Jungers

In this paper, we formulate and solve a randomized optimal consensus problem for multi-agent systems with stochastically time-varying interconnection topology. The considered multi-agent system with a simple randomized iterating rule…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson