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We prove the existence of weak solutions to kinetic flocking model with cut-off interaction function by using Schauder fixed pointed theorem and velocity averaging lemma. Under the natural assumption that the velocity support of the initial…

Analysis of PDEs · Mathematics 2015-10-07 Chunyin Jin

A distributed average consensus algorithm robust to a wide range of impulsive channel noise distributions is proposed. This work is the first of its kind in the literature to propose a consensus algorithm which relaxes the requirement of…

Systems and Control · Computer Science 2015-06-22 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

In this paper consensus in second-order multi-agent systems with a non-periodic sampled-data exchange among agents is investigated. The sampling is random with bounded inter-sampling intervals. It is assumed that each agent has exact…

Systems and Control · Computer Science 2014-09-09 Mehran Zareh , Dimos V. Dimarogonas , Mauro Franceschelli , Karl Henrik Johansson , Carla Seatzu

We establish the global existence of weak solutions to a class of kinetic flocking equations. The models under consideration include the kinetic Cucker-Smale equation with possibly non-symmetric flocking potential, the Cucker-Smale equation…

Analysis of PDEs · Mathematics 2012-02-21 Trygve Karper , Antoine Mellet , Konstantina Trivisa

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…

Optimization and Control · Mathematics 2017-05-16 J. Wei , A. R. F. Everts , M. K. Camlibel , A. J. van der Schaft

We establish necessary and sufficient conditions for convergence (in the sense of finite dimensional distributions) of multiplicative measures on the set of partitions. We show that this convergence is equivalent to asymptotic independence…

Probability · Mathematics 2012-02-28 Boris L. Granovsky

In this paper, we study asynchronous consensus problems of continuous-time multi-agent systems with discontinuous information transmission. The proposed consensus control strategy is implemented only based on the state information at some…

Dynamical Systems · Mathematics 2007-05-23 Feng Xiao , Long Wang

In this paper, a class of convex feasibility problems (CFPs) are studied for multi-agent systems through local interactions. The objective is to search a feasible solution to the convex inequalities with some set constraints in a…

Systems and Control · Computer Science 2016-12-16 Kaihong Lu , Gangshan Jing , Long Wang

Solving an output consensus problem in multi-agent systems is often hindered by multiple time-variant delays. To address such fundamental problems over time, we present a new optimal time-variant distributed control for linearly perturbed…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Milad Gholami

This paper investigates the fixed-time consensus problem for a class of multi-agent systems with simple dynamics. Unlike the traditional way to realize fixed-time convergence, a novel strategy using the property of periodic functions is…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Yuquan Chen , Fumian Wang , Bing Wang

This paper addresses novel consensus problems for multi-agent systems operating in an unreliable environment where adversaries are spreading. The dynamics of the adversarial spreading processes follows the susceptible-infected-recovered…

Systems and Control · Electrical Eng. & Systems 2022-01-12 Yuan Wang , Hideaki Ishii , François Bonnet , Xavier Défago

Consider a network whose nodes have some initial values, and it is desired to design an algorithm that builds on neighbor to neighbor interactions with the ultimate goal of convergence to the average of all initial node values or to some…

Optimization and Control · Mathematics 2014-09-16 Mahmoud El Chamie , Ji Liu , Tamer Başar

A distributed average consensus algorithm in which every sensor transmits with bounded peak power is proposed. In the presence of communication noise, it is shown that the nodes reach consensus asymptotically to a finite random variable…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-15 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

In this paper, we consider the consensus problem of switched multi-agent system composed of continuous-time and discrete-time subsystems. By combining the classical consensus protocols of continuous-time and discrete-time multi-agent…

Systems and Control · Computer Science 2014-07-15 Yuanshi Zheng , Jingying Ma , Long Wang

Flocking behavior of multiple agents can be widely observed in nature such as schooling fish and flocking birds. Recent literature has proposed the possibility that flocking is possible even only a small fraction of agents are informed of…

Chaotic Dynamics · Physics 2009-05-08 Jin Zhou , Wenwu Yu , Xiaoqun Wu , Michael Small , Jun-an Lu

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

The focus of this paper is to quantify measures of aggregate fluctuations for a class of consensus-seeking multiagent networks subject to exogenous noise with alpha-stable distributions. This type of noise is generated by a class of random…

Systems and Control · Computer Science 2019-01-29 Christoforos Somarakis , Nader Motee

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

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

We consider distributed consensus in networks where the agents have integrator dynamics of order two or higher ($n\ge 2$). We assume all feedback to be localized in the sense that each agent has a bounded number of neighbors and consider a…

Optimization and Control · Mathematics 2023-01-27 Emma Tegling , Bassam Bamieh , Henrik Sandberg