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We consider infinite heterogeneous networks, consisting of input-to-state stable subsystems of possibly infinite dimension. We show that the network is input-to-state stable, provided that the gain operator satisfies a certain small-gain…

Optimization and Control · Mathematics 2021-07-29 Andrii Mironchenko , Christoph Kawan , Jochen Glück

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…

Optimization and Control · Mathematics 2020-07-03 Tomas Menard , Ali Syed , Emmanuel Moulay , Patrick Coirault , Michael Defoort

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…

Optimization and Control · Mathematics 2025-09-03 Mohamed Bentaibi , Laura Caravenna , Jean-Paul A. Gauthier , Francesco Rossi

The purpose of this short paper is to provide a theoretical analysis for the consensus problem under nonlinear protocols. A main contribution of this work is to generalize the previous consensus problems under nonlinear protocols for…

Dynamical Systems · Mathematics 2008-04-24 Xiwei Liu , Tianping Chen

This article addresses the problem of average consensus in a multi-agent system when the desired consensus quantity is a time varying signal. Although this problem has been addressed in existing literature by linear schemes, only bounded…

Systems and Control · Electrical Eng. & Systems 2022-05-26 Rodrigo Aldana-López , Rosario Aragüés , Carlos Sagüés

There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the complete consensus may be undesirable. More recently, the concept…

Physics and Society · Physics 2019-07-24 Isaac Klickstein , Louis Pecora , Francesco Sorrentino

In this paper, we investigate the feedback stability of multiple-input multiple-output linear time-invariant systems with combined gain and phase information. To begin with, we explore the stability condition for a class of so-called easily…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Di Zhao , Wei Chen , Li Qiu

This paper focuses on analyzing the finite-time convergence of a nonlinear consensus algorithm for multi-agent networks with unknown inherent nonlinear dynamics. Due to the existence of the unknown inherent nonlinear dynamics, the stability…

Optimization and Control · Mathematics 2013-02-21 Yongcan Cao , Wei Ren

Many dynamical systems, including thermal, fluid, and multi-agent systems, can be represented as weighted graphs. In this paper we consider whether the unstable states of such systems can be observed from limited discrete-time measurement,…

Systems and Control · Electrical Eng. & Systems 2022-09-28 Uduak Inyang-Udoh , Michael Shanks , Neera Jain

This paper considers the distributed consensus problems for multi-agent systems with general linear and Lipschitz nonlinear dynamics. Distributed relative-state consensus protocols with an adaptive law for adjusting the coupling weights…

Systems and Control · Computer Science 2015-01-20 Zhongkui Li , Wei Ren , Xiangdong Liu , Mengyin Fu

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…

Optimization and Control · Mathematics 2026-03-20 Yuhan Chen , Tao Liu , Jie Huang

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…

Systems and Control · Computer Science 2018-02-06 Angela Fontan , Guodong Shi , Xiaoming Hu , Claudio Altafini

This paper considers a localized data-driven consensus problem for leader-follower multi-agent systems with unknown discrete-time agent dynamics, where each follower computes its local control gain using only their locally collected state…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Zeze Chang , Junjie Jiao , Zhongkui Li

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

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…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Zoltan Nagy , Irinel-Constantin Morarescu , Lucian Busoniu

In this preliminary paper we study the stability property of a consensus on the average algorithm in arbitrary directed graphs with respect to communication/sensing time-delays. The proposed algorithm adds a storage variable to the agents'…

Optimization and Control · Mathematics 2015-02-17 Mehran Zareh , Carla Seatzu , Mauro Franceschelli

This work deals with the output consensus problem for multiagent systems over balanced digraphs by passivity analysis. As the standard diffusive coupling structure only models the undirected interconnection, we propose a general approach…

Optimization and Control · Mathematics 2025-06-27 Feng-Yu Yue , Daniel Zelazo

This paper considers small gain theorems for the global asymptotic and exponential input-to-state stability for discrete time time-delay systems using Razumikhin-type Lyapunov function. Among other things, unlike the existing literature, it…

Systems and Control · Electrical Eng. & Systems 2023-10-06 Yuanqiu Mo , Wenwu Yu , Huazhou Hou , Soura Dasgupta

This paper provides a framework to characterize the gain margin, phase margin, and maximum input delay margin of a linear time-invariant multi-agent system where the interaction topology is described by a graph with a directed spanning…

Optimization and Control · Mathematics 2020-12-08 Rajnish Bhusal , Kamesh Subbarao

This paper presents a spatio-temporal inverse optimal control framework for understanding interactions in multi-agent systems (MAS). We employ a graph representation approach and model the dynamics of interactions between agents as…

Systems and Control · Electrical Eng. & Systems 2024-11-04 Sara Honarvar , Yancy Diaz-Mercado