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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

This paper studies deterministic consensus networks with discrete-time dynamics under persistent flows and non-reciprocal agent interactions. An arc describing the interaction strength between two agents is said to be persistent if its…

Systems and Control · Computer Science 2017-06-06 Weiguo Xia , Guodong Shi , Ziyang Meng , Ming Cao , Karl Henrik Johansson

Two finite-time consensus protocols are proposed for multi-dimensional multi-agent systems, using direction-preserving and component-wise signum controls respectively. Filippov solutions and non-smooth analysis techniques are adopted to…

Optimization and Control · Mathematics 2017-05-08 Jieqiang Wei , Bart Besselink , Junfeng Wu , Henrik Sandberg , Karl H. Johansson

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

In this paper, we study the leaderless consensus problem for multiple Lagrangian systems in the presence of parametric uncertainties and external disturbances under directed graphs. For achieving asymptotic behavior, a robust continuous…

Systems and Control · Electrical Eng. & Systems 2019-07-26 Jie Mei

Several algorithms in prior literature have been proposed which guarantee consensus of normally behaving agents in a network that may contain adversarially behaving agents. These algorithms guarantee that the consensus value lies within the…

Systems and Control · Electrical Eng. & Systems 2019-06-24 James Usevitch , Dimitra Panagou

We consider cooperative multi-agent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific possibly…

Optimization and Control · Mathematics 2017-06-27 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

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

We study two agent based models of opinion formation - one stochastic in nature and one deterministic. Both models are defined in terms of an underlying graph; we study how the structure of the graph affects the long time behavior of the…

Dynamical Systems · Mathematics 2019-01-31 Dylan Weber , Ryan Theisen , Sebastien Motsch

Consensus problem of high-order integral multi-agent systems under switching directed topology is considered in this study. Depending on whether the agent's full state is available or not, two distributed protocols are proposed to ensure…

Systems and Control · Computer Science 2013-04-16 Long Cheng , Zeng-Guang Hou , Min Tan

A theorem on (partial) convergence to consensus of multiagent systems is presented. It is proven with tools studying the convergence properties of products of row stochastic matrices with positive diagonals which are infinite to the left.…

Optimization and Control · Mathematics 2015-03-17 Jan Lorenz

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 paper addresses the distributed prescribed-time leader-following consensus problem for a class of high-order multi-agent systems (MASs) with perturbed nonlinear agents dynamics and where the topology of the network contains a directed…

Systems and Control · Electrical Eng. & Systems 2020-12-15 J. Armando Colunga , Héctor M. Becerra , Carlos R. Vázquez , David Gómez-Gutiérrez

This paper is concerned with the consensus problem for multi-agent systems subject to communication delays between the neighboring agents. We consider a scenario where each agent is characterized by a general high-order linear system and…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Rajnish Bhusal , Kamesh Subbarao

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

In this work, we characterize a class of nonlinear monotone dynamical systems that have a certain translation invariance property which goes by the name of plus-homogeneity; usually called "topical" systems. Such systems need not be…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Diego Deplano , Mauro Franceschelli , Alessandro Giua

In this paper, the behavior of scalar multi-agent systems over networks subject to time-driven jumps. Assuming that all agents communicate through distinct communication digraphs at jump and flow times, the asymptotic multi-consensus…

Systems and Control · Electrical Eng. & Systems 2021-10-28 Andrea Cristofaro , Mattia Mattioni

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

In this paper, we study the continuous-time consensus problem in the presence of adversaries. The networked multi-agent system is modeled as a switched system, where the normal agents have integrator dynamics and the switching signal…

Systems and Control · Computer Science 2013-03-13 Heath J. LeBlanc , Haotian Zhang , Shreyas Sundaram , Xenofon Koutsoukos

This work shows an approach to achieve output consensus among heterogeneous agents in a multi-agent environment where each agent is subject to input constraints. The communication among agents is described by a time-varying…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Chong Jin Ong , Bonan Hou