Input–output finite-time mean square stabilization of nonlinear semi-Markovian jump systems

By Huaicheng Yan, Yongxiao Tian, Hongyi Li, Hao Zhang, Zhichen Li. Automatica, 2019

129 citations recorded by the source corpus.

Abstract This paper is concerned with the input–output finite-time mean square stabilization problem for a class of nonlinear semi-Markovian jump systems (SMJSs) with time-varying delay. Both time-varying factors of transition rates and states delay are considered to be bounded. Our main purpose is to derive some parameter-dependent sufficient criteria by designing a state feedback controller, to guarantee the input–output finite-time mean square stabilization for the underlying systems where the nonlinear term satisfies the conic sector constraint. Then, the stabilization conditions are obtained by employing a novel Lyapunov–Krasovskii functional, differential form Gronwall’s inequality, and an extra slack variable which is composed of the time-varying transition rates. Finally, a simulation example is provided to illustrate the effectiveness and merits of the proposed method.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/7938c6c55b278b8a9e0a6c7f13ab330d55918a6a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Engang Tian
2. Chen Peng
3. Qing-Long Han

In Control and Systems Engineering

1. Engang Tian
2. Chen Peng
3. Qing-Long Han
4. Xianming Zhang
5. Hongtao Sun

Citations in the corpus

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