Finite-timeH_∞control for stochastic time-delayed Markovian switching systems with partly known transition rates and nonlinearity

Abstract

This paper focuses on the problem of finite-time H ∞ control for stochastic time-delayed Markovian switching systems with partly known transition rates and nonlinearity. By employing an appropriate Lyapunov function and some appropriate freeweighting matrices, a state feedback controller is designed to ensure H ∞ finite-time boundedness of the resulting closed-loop system that contains time-varying delay, admissible external disturbance, Itô-type stochastic disturbance and nonlinearity. All the proposed conditions are established in the form of linear matrix inequalities. Finally, an example is given to demonstrate the validity of the main results.

50 Years of international journal of systems science: a review of the past and trends for the future

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