title: Passive synchronization for Markov jump genetic oscillator networks with time-varying delays.
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.
authors: College of Electrical Engineering, Shanghai Dianji University, Shanghai 200240, China. Electronic address: lul@sdju.edu.cn.
authors: Li
authors: L
authors: Lu
authors: Maintenance Company, State Grid Shanghai Municipal Electric Power Company, Shanghai 200063, China. Electronic address: hebing.qh@gmail.com.
authors: Bing
authors: B
authors: He
authors: Department of Automation, Harbin University of Science and Technology, Harbin 150080, China. Electronic address: Mtc68@hrbust.edu.cn.
authors: Chuntao
authors: C
authors: Man
authors: Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China. Electronic address: wangshun@hit.edu.cn.
authors: Shun
authors: S
authors: Wang
mesh_terms: D003198:Computer Simulation; D053263:Gene Regulatory Networks; D008390:Markov Chains; D055641:Mathematical Concepts; D008957:Models, Genetic; D013269:Stochastic Processes; D013997:Time Factors
keywords: Markov jump genetic oscillator networks; Passive; Synchronization; Time-varying delays