Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 37, Issue -, Pages -Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2020.100905
Keywords
Leader-following consensus; Multi-agent systems; Random switching topologies; Semi-Markov process
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Funding
- National Natural Science Foundation of China [11571322, 11971444]
- Foundation of Henan Educational Committee [16A110023]
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This paper is concerned with leader -following consensus of general linear multi -agent systems with random switching topologies, where the dwell time in each topology consists of a fixed part and random part, and the topology switching signal in random part is modeled by a semi-markov process. First, a semi-Markov switched system with state jumps is constructed, and the stochastic stability of the constructed system is shown to be equivalent to that of the original system. Then a necessary and sufficient condition is established by using a Lyapunov approach in terms of linear matrix inequalities. Finally, the effectiveness of our results is illustrated by a numerical example and a practical example. (C) 2020 Elsevier Ltd. All rights reserved.
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