Finite-Time Asynchronous Stabilization for Nonlinear Hidden Markov Jump Systems with Parameter Varying in Continuous-Time Case

Abstract EN

The finite-time asynchronous stabilization problem has received great attention because of the wide application of actual engineering.

In this paper, we consider the problem of finite-time asynchronous stabilization for nonlinear hidden Markov jump systems (HMJSs) with linear parameter varying.

Compared with the existing research results on Markov jump systems, this paper considers the HMJSs which contain both the hidden state and the observed state in continuous-time case.

Moreover, we consider the parameters of the systems are time varying.

The aim of the paper is to design a proper observation-mode-based asynchronous controller such that the closed-loop HMJSs with linear parameter varying be stochastically finite-time bounded with H∞ performance (SFTB-H∞).

Then, we give some sufficient conditions to solve the SFTB-H∞ asynchronous controller by considering the stochastic Lyapunov–Krasovskii functional (SLKF) methods.

Finally, a numerical example is used to show the validity of the main results.