Leader-following consensus problem with a varying-velocity leader and time-varying delays

Ke Peng and Yupu Yang

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 2, 193-208

Abstract: In this paper, we study a leader-following consensus problem for a multi-agent system with a varying-velocity leader and time-varying delays. Here, the interaction graph among the followers is switching and balanced. At first, we propose a neighbor-based rule for every agent to track a leader whose states may not be measured. In addition, we consider the convergence analysis of this multi-agent system under two different conditions: the connection between the followers and the leader is time-invariant and time-varying. For the first case, a novel decomposition method is introduced to facilitate the convergence analysis. By utilizing a Lyapunov–Krasovskii functional, we obtain sufficient conditions for uniformly ultimately boundedness of the tracking errors. Finally, two simulations are also presented to illustrate our theoretical results.

Keywords: Multi-agent system; Consensus; Leader-following; Time-varying delay; Lyapunov–Krasovskii functional (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:2:p:193-208

DOI: 10.1016/j.physa.2008.10.009

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