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We propose a guaranteed and fully computable upper bound on the energy norm of the error in low-rank Tensor Train (TT) approximate solutions of (possibly) high dimensional reaction-diffusion problems. The error bound is obtained from…

数值分析 · 数学 2020-04-03 Sergey Dolgov , Tomáš Vejchodský

This paper studies a class of consensus dynamics where the interactions between agents are affected by a time-varying unknown scaling factor. This situation is encountered in the control of robotic fleets over a wireless network or in…

系统与控制 · 电气工程与系统科学 2025-11-14 Zoltan Nagy , Irinel-Constantin Morarescu , Lucian Busoniu

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…

偏微分方程分析 · 数学 2019-09-09 Young-Pil Choi , Alessandro Paolucci , Cristina Pignotti

This paper is concerned with the leader-following consensus problem for a class of Lipschitz nonlinear multi-agent systems with uncertain dynamics, where each agent only transmits its noisy output, at discrete instants and independently…

最优化与控制 · 数学 2020-07-03 Tomas Menard , Ali Syed , Emmanuel Moulay , Patrick Coirault , Michael Defoort

This paper studies a consensus problem of multi-agent systems subjected to external disturbances over the clustered network. It considers that the agents are divided into several clusters. They are almost all the time isolated one from…

系统与控制 · 电气工程与系统科学 2021-06-08 Thiem V. Pham , Quynh T. T. Nguyen

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…

最优化与控制 · 数学 2021-03-25 Quoc Van Tran , Minh Hoang Trinh , Hyo-Sung Ahn

We investigate consensus formation and the asymptotic consensus times in stylized individual- or agent-based models, in which global agreement is achieved through pairwise negotiations with or without a bias. Considering a class of…

物理与社会 · 物理学 2011-06-30 W. Zhang , C. Lim , S. Sreenivasan , J. Xie , B. K. Szymanski , G. Korniss

Consensus halving refers to the problem of dividing a resource into two parts so that every agent values both parts equally. Prior work has shown that when the resource is represented by an interval, a consensus halving with at most $n$…

计算机科学与博弈论 · 计算机科学 2022-11-22 Paul W. Goldberg , Alexandros Hollender , Ayumi Igarashi , Pasin Manurangsi , Warut Suksompong

We consider a scenario in which leaders are required to recruit teams of followers. Each leader cannot recruit all followers, but interaction is constrained according to a bipartite network. The objective for each leader is to reach a state…

多智能体系统 · 计算机科学 2012-12-11 Lorenzo Coviello , Massimo Franceschetti

This paper develops a novel approach to the consensus problem of multi-agent systems by minimizing a weighted state error with neighbor agents via linear quadratic (LQ) optimal control theory. Existing consensus control algorithms only…

最优化与控制 · 数学 2024-03-19 Liping Zhang , Juanjuan Xu , Huanshui Zhang , Lihua Xie

This paper addresses the global consensus problems of a class of nonlinear multi-agent systems with Lipschitz nonlinearity and directed communication graphs, by using a distributed consensus protocol based on the relative states of…

系统与控制 · 计算机科学 2012-02-27 Zhongkui Li , Xiangdong Liu , Mengyin Fu , Lihua Xie

This work addresses the output consensus problem of constrained heterogeneous multi-agent systems under a switching network with potential communication delays, where outputs are periodic and characterized by an exosystem. Since periodic…

系统与控制 · 电气工程与系统科学 2026-04-14 Shibo Han , Bonan Hou , Chong Jin Ong

In this paper, the problem of event-triggered consensus for linear continuous-time multi-agent systems is investigated. A new event-triggered consensus protocol based on a predictor is proposed to achieve consensus without continuous…

系统与控制 · 计算机科学 2017-02-27 Xiaoyu Liu , Jian Sun , Lihua Dou , Jie Chen

The aim of this paper is to analyze a class of consensus algorithms with finite-time or fixed-time convergence for dynamic networks formed by agents with first-order dynamics. In particular, in the analyzed class a single evaluation of a…

In this paper the problem of driving the state of a network of identical agents, modeled by boundary-controlled heat equations, towards a common steady-state profile is addressed. Decentralized consensus protocols are proposed to address…

系统与控制 · 计算机科学 2015-09-24 A. Pilloni , A. Pisano , Y. Orlov , E. Usai

In this paper, the optimal consensus problem for general nonlinear multi-agent systems is studied, where both leaderless and leader-follower cases are considered in a unified framework. The key idea is to convert consensus problems into…

最优化与控制 · 数学 2026-04-07 Ziyuan Guo , Chuanzhi lv , Liping Zhang , Huanshui Zhang

In this paper, we consider finite-time state agreement problems for continuous-time multi-agent systems and propose two protocols, which ensure that states of agents reach an agreement in a finite time. Moreover, the second protocol solves…

动力系统 · 数学 2007-05-23 Feng Xiao , Long Wang

This paper studies consensus problems for multi-agent systems defined on directed graphs where the consensus dynamics involves nonlinear and discontinuous functions. Sufficient conditions, involving the nonlinear functions and the topology…

最优化与控制 · 数学 2017-05-16 J. Wei , A. R. F. Everts , M. K. Camlibel , A. J. van der Schaft

This paper considers a leader-following problem for a group of heterogeneous linear time invariant (LTI) followers that are interacting over a directed acyclic graph. Only a subset of the followers has access to the state of the leader in…

多智能体系统 · 计算机科学 2019-11-21 Yi-Fan Chung , Solmaz S. Kia

Time-varying hierarchical multi-agent systems are common in many applications. A well-known solution to control these systems is to use state feedback controllers that depend on the adjacency matrix to reach consensus. This solution has…

系统与控制 · 电气工程与系统科学 2022-12-02 Victor Daniel Reyes Dreke , Mircea Lazar