Passive synchronization for Markov jump genetic oscillator networks with time-varying delays
Li Lu1, Bing He2, Chuntao Man3
1College of Electrical Engineering, Shanghai Dianji University, Shanghai 200240, China.
Abstract:
In this paper, the synchronization problem of coupled Markov jump genetic oscillator networks with time-varying delays and external disturbances is investigated. By introducing the drive-response concept, a novel mode-dependent control scheme is proposed, which guarantees that the synchronization can be achieved. By applying the Lyapunov-Krasovskii functional method and stochastic analysis, sufficient conditions are established based on passivity theory in terms of linear matrix inequalities. A numerical example is provided to demonstrate the effectiveness of our theoretical results.
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