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This paper fully studies distributed optimal consensus problem in non-directed dynamical networks. We consider a group of networked agents that are supposed to rendezvous at the optimal point of a collective convex objective function. Each…

Optimization and Control · Mathematics 2017-12-22 Amir Adibzadeh , Amir A. Suratgar , Mohammad B. Menhaja , Mohsen Zamani

This paper investigates the non-trivial consensus problem on directed signed matrix-weighted networks\textemdash a novel convergence state that has remained largely unexplored despite prior studies on bipartite consensus and trivial…

Systems and Control · Electrical Eng. & Systems 2026-02-13 Tianmu Niu , Bing Mao , Xiaoqun Wu , Tingwen Huang

In this paper, we consider the coordination control of a group of autonomous mobile agents with multiple leaders. Different interconnection topologies are investigated. At first, a necessary and sufficient condition is proved in the case of…

Mathematical Physics · Physics 2007-05-23 Jiangping Hu , Yiguang Hong , Linxin Gao

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.…

Optimization and Control · Mathematics 2012-11-07 Samuel Martin , Antoine Girard

A cluster consensus system is a multi-agent system in which the autonomous agents communicate to form multiple clusters, with each cluster of agents asymptotically converging to the same clustering point. We introduce in this paper a…

Dynamical Systems · Mathematics 2016-01-26 Xudong Chen , Mohamed-Ali Belabbas , Tamer Basar

This paper investigates a robust positive consensus problem for a class of heterogeneous high-order multi-agent systems subject to external inputs. Compared with existing multi-agent consensus results, the most distinct feature of the…

Systems and Control · Electrical Eng. & Systems 2023-05-10 Ruonan Li , Yutao Tang , Shurong Li

This note considers the constrained H-infinity consensus of multi-agent networks with nonidentical constraint sets. An improved distributed algorithm is adopted and a nonlinear controlled output function is defined to evaluate the effect of…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Lipo Mo , Yingmin Jia , Yongguang Yu

A solution is provided in this note for the adaptive consensus problem of nonlinear multi-agent systems with unknown and non-identical control directions assuming a strongly connected underlying graph topology. This is achieved with the…

Systems and Control · Computer Science 2018-03-28 Haris E. Psillakis

The paper studies the problem of achieving consensus in multi-agent systems in the case where the dependency digraph $\Gamma$ has no spanning in-tree. We consider the regularization protocol that amounts to the addition of a dummy agent…

Optimization and Control · Mathematics 2018-08-17 Rafig Agaev , Pavel Chebotarev

We describe a protocol for the average consensus problem on any fixed undirected graph whose convergence time scales linearly in the total number nodes $n$. The protocol is completely distributed, with the exception of requiring all nodes…

Optimization and Control · Mathematics 2017-08-07 Alex Olshevsky

This note further studies the previously proposed consensus protocol for linear multi-agent systems with communication noises in [15], [16]. Each agent is allowed to have its own time-varying gain to attenuate the effect of communication…

Systems and Control · Computer Science 2015-08-28 Long Cheng , Yunpeng Wang , Wei Ren , Zeng-Guang Hou , Min Tan

This paper considers the leader-follower control problem for a linear multi-agent system with undirected topology and linear coupling subject to integral quadratic constraints (IQCs). A consensus-type control protocol is proposed based on…

Systems and Control · Computer Science 2013-03-13 Yi Cheng , V. Ugrinovskii

Collective phenomena in systems of interacting agents have helped us understand diverse social, ecological and biological observations. The corresponding explanations are challenged by incorrect information processing. In particular, the…

Physics and Society · Physics 2022-04-08 Johannes Falk , Edwin Eichler , Katja Windt , Marc-Thorsten Hütt

In this paper, the practical output consensus problem for heterogeneous high-order leader-follower multi-agent systems under directed communication topology containing a directed spanning tree and subject to large-scale mismatched…

Optimization and Control · Mathematics 2023-03-06 Mengling Li , Ze-Hao Wu , Feiqi Deng , Zhi-Liang Zhao

This paper considers the resilient multi-dimensional consensus problem in networked systems, where some of the agents might be malicious (or faulty). We propose a multi-dimensional consensus algorithm, where at each time step each healthy…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Jiaqi Yan , Yilin Mo , Xiuxian Li , Changyun Wen

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

We consider the global consensus problem for multi-agent systems with input saturation over digraphs. Under a mild connectivity condition that the underlying digraph has a directed spanning tree, we use Lyapunov methods to show that the…

Optimization and Control · Mathematics 2019-04-15 Xinlei Yi , Tao Yang , Junfeng Wu , Karl H. Johansson

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…

Systems and Control · Computer Science 2016-08-10 Brian D. O. Anderson , Guodong Shi , Jochen Trumpf

This paper investigates a new method for consensus in a group of nonlinear complex multi-agent systems using fixed-order non-fragile dynamic output feedback controller, via an LMI approach. The proposed scheme is decentralized in the sense…

Optimization and Control · Mathematics 2015-01-21 Amir Amini , Ali Azarbahram , Mahdi Sojoodi

This paper analyzes consensus in multi-agent systems under uniform and nonuniform communication delays, a key challenge in distributed coordination with applications to robotic swarms. It investigates the convergence of a consensus…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Shokoufeh Naderi , Maude Blondin , Sébastien Roy