H∞ synchronization of uncertain stochastic time-varying delay systems with exogenous disturbance via intermittent control

Kui Ding and Quanxin Zhu

Chaos, Solitons & Fractals, 2019, vol. 127, issue C, 244-256

Abstract: In this work, the drive-response H∞ synchronization of stochastic time-varying systems with exogenous disturbance and parameter uncertainly via intermittent control is discussed. Based on a novel piecewise time dependent Lyapunov functional (PTDLF) and the strong low of large numbers for local martingales, the sufficient causes presented by linear matrix inequalities are established to ensure the mean square exponential synchronization and almost sure exponential synchronization with L2-gain performance for the stochastic drive-response system, respectively. In addition, two types of delay independent intermittent controllers are designed in view of the obtained synchronization standard. Finally, two numerical examples are given to illustrate the rationality and effectiveness of the method under investigation.

Keywords: H∞ synchronization; Exogenous disturbance; Aperiodically intermittent control; Parameter uncertainly; Local martingales (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:127:y:2019:i:c:p:244-256

DOI: 10.1016/j.chaos.2019.06.038

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