Finite-Time \({H_\infty }\) Synchronization for Complex Dynamical Networks with Markovian Jump Parameter

[摘要] In this paper, the problem of finite-time $${H_\infty }$$ H ∞ synchronization for complex dynamical networks with Markovian jump parameter is investigated. This purpose is concentrated on designing controller such that the obtain synchronization error system is finite-time $${H_\infty }$$ H ∞ synchronization. Based on the delay subinterval decomposition approach and linear matrix inequality approach, a new Lyapunov–Krasovskii functional is proposed to acquire the sufficient condition. Finally, numerical simulations are exploited to demonstrate our theoretical results.

[学科分类] 自动化工程

[关键词] Synchronization;Complex dynamical networks;Delay subinterval decomposition;Linear matrix inequality