Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 12, Issue 2, Pages 299-309Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2017.0462
Keywords
stochastic systems; multi-agent systems; mean square error methods; delays; actuators; Lyapunov methods; time-varying systems; leader-following mean square consensus; stochastic multi-agent systems; event-triggered control; state-dependent condition; actuator; Lyapunov function method; Ito formula; delay-independent consensus condition; delay-dependent criterion; input fixed time delay; input time-varying delay; sampling points; inter-event time lower bound
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Funding
- National Natural Science Foundation of China [61573096, 61272530, 11461082, 11601474]
- Jiangsu Provincial Key Laboratory of Networked Collective Intelligence [BM2017002]
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This paper addresses the mean square consensus problem of leader-following stochastic multi-agent systems using a distributed event-triggered control strategy. For each involving agent, generally, the time-varying (or fixed) delay between controller and actuator is unavoidable. The controller is updated only when the event condition is triggered. Based on the Lyapunov function method and Ito formula, three sufficient conditions for leader-following mean square consensus are established, including a delay-independent consensus condition and a delay-dependent criterion for the case with input fixed time delay, and a consensus criterion for the case with input time-varying delay. Furthermore, an inter-event time lower bound between two sampling points is derived. The results are illustrated through several numerical examples.
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