Input–output finite-time stabilization of Markovian jump systems with convex polytopic switching probabilities

2016 ◽  
Vol 353 (14) ◽  
pp. 3632-3640 ◽  
Author(s):  
Zhongyi Tang ◽  
Fei Liu
Keyword(s):  
Finite Time ◽  
Markovian Jump Systems ◽  
Input Output ◽  
Markovian Jump ◽  
Finite Time Stabilization ◽  
Jump Systems

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

Automatica ◽  
2019 ◽  
Vol 104 ◽  
pp. 82-89 ◽  
Author(s):  
Huaicheng Yan ◽  
Yongxiao Tian ◽  
Hongyi Li ◽  
Hao Zhang ◽  
Zhichen Li
Keyword(s):  
Finite Time ◽  
Markovian Jump Systems ◽  
Mean Square ◽  
Input Output ◽  
Markovian Jump ◽  
Jump Systems

scholarly journals Observer-Based Finite-TimeH∞Control of Singular Markovian Jump Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Yingqi Zhang ◽  
Wei Cheng ◽  
Xiaowu Mu ◽  
Xiulan Guo
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Markovian Jump Systems ◽  
Feasibility Problem ◽  
Auxiliary Result ◽  
Markovian Jump ◽  
Singular Markovian Jump Systems ◽  
Finite Time Stabilization ◽  
Jump Systems

This paper addresses the problem of finite-timeH∞control via observer-based state feedback for a family of singular Markovian jump systems (SMJSs) with time-varying norm-bounded disturbance. Firstly, the concepts of singular stochastic finite-time boundedness and singular stochastic finite-timeH∞stabilization via observer-based state feedback are given. Then an observer-based state feedback controller is designed to ensure singular stochastic finite-timeH∞stabilization via observer-based state feedback of the resulting closed-loop error dynamic SMJS. Sufficient criteria are presented for the solvability of the problem, which can be reduced to a feasibility problem involving linear matrix inequalities with a fixed parameter. As an auxiliary result, we also discuss the problem of finite-time stabilization via observer-based state feedback of a class of SMJSs and give sufficient conditions of singular stochastic finite-time stabilization via observer-based state feedback for the class of SMJSs. Finally, illustrative examples are given to demonstrate the validity of the proposed techniques.

Non-fragile H∞ SMC for Markovian jump systems in a finite-time

2021 ◽  
Author(s):  
Wenhai Qi ◽  
Yaoyao Zhou ◽  
Lihua Zhang ◽  
Jinde Cao ◽  
Jun Cheng
Keyword(s):  
Finite Time ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Jump Systems
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