Consensus of multi‐agent linear dynamic systems

Abstract

In this paper the consensus problem is considered for multi-agent systems, in which all agents have an identical linear dynamic mode that can be of any order. The main result is that if the adjacent topology of the graph is frequently connected then the consensus is achievable via localinformation-based decentralized controls, provided that the linear dynamic mode is completely controllable. Consequently, many existing results become particular cases of this general result. In this paper, the case of fixed connected topology is discussed first. Then the case of switching connected topology is considered. Finally, the general case is studied where the graph topology is switching and only connected often enough.

A linear consensus approach to quality-fair video delivery

“…The main goal of this paper is to systematically select those gains based on a linear consensus approach. Consensus and synchronization problems are extensively studied in the literature for identical multi-agent systems, see, e.g., [17] [8], [9], [26]. In consensus problems, the emphasis is on communication constraints, where the individual systems are modeled as simple integrators, and the collective evolution is determined by the exchange of information modeled by some communication graph.…”

H_? Consensus Control of Multi-Agent Systems: a Static Output Feedback Controller with Time-Delay

“…Many aspects of consensus algorithms are considered for multi-agent networked systems [4]. A consensus protocol for a linear multi-agent system is designed [6]. The consensus problem for second-order multi-agent systems with a dynamical leader is analyzed [13].…”

Multi-agent Linear Dynamical Systems, Analyzing the Consensus Problem

“…It is well known the great interest created in many research communities, the study of control multiagents system, and there are an amount of literature as for example [3], [8], [10], [12]. It is due to the multi-agents appear in different areas as for example in consensus problem of communication networks [9] or formation control of mobile robots [2].…”