Journal
SYSTEMS & CONTROL LETTERS
Volume 59, Issue 3-4, Pages 209-217Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2010.01.006
Keywords
Consensus; Multi-agent systems; Algebraic graph theory; Lyapunov inequality; Riccati inequality
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The leader-following consensus problem of higher order multi-agent systems is considered. In the system, the dynamics of each agent and the leader is a linear system. The control of each agent using local information is designed and detailed analysis of the leader-following consensus is presented for both fixed and switching interaction topologies, which describe the information exchange between the multi-agent systems. The design technique is based on algebraic graph theory, Riccati inequality and Lyapunov inequality. Simulations indicate the capabilities of the algorithms. (C) 2010 Elsevier B.V. All rights reserved.
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