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Li, Hongjie

Sampled-data consensus for nonlinear multiagent dynamical systems via reliable control. (English) Zbl 1406.93198

Abstr. Appl. Anal. 2014, Article ID 735232, 12 p. (2014).
Summary: The paper studies sampled-data consensus for nonlinear multiagent dynamical systems. A distributed linear reliable consensus protocol is designed, where probabilistic actuators with different failure rates and random network-induced delay are considered. Based on the input delay approach, a new distribution-based fault multiagent system model with random delay is proposed. By using the stochastic analysis technique and Kronecker product properties, some consensus conditions are derived in terms of linear matrix inequalities, and the solvability of derived conditions depends on not only the failure rate of the actuator but also on the probability of the delay. Finally, a numerical example is provided to demonstrate the effectiveness of the obtained theoretical results.

MSC:

93C57 Sampled-data control/observation systems
93A14 Decentralized systems
68T42 Agent technology and artificial intelligence
93C10 Nonlinear systems in control theory
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory

Keywords:

sampled-data consensus; nonlinear multiagent systems; Lyapunov stability
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\textit{H. Li}, Abstr. Appl. Anal. 2014, Article ID 735232, 12 p. (2014; Zbl 1406.93198)
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References:

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