Reachable set estimation and aperiodic sampled‐data controller design for Markovian jump systems

2021 ◽  
Author(s):  
Linqi Wang ◽  
Jianwei Xia ◽  
Guoliang Chen ◽  
Ju H. Park ◽  
Hao Shen
Keyword(s):  
Controller Design ◽  
Reachable Set ◽  
Markovian Jump Systems ◽  
Sampled Data ◽  
Markovian Jump ◽  
Set Estimation ◽  
Reachable Set Estimation ◽  
Data Controller ◽  
Jump Systems

Aperiodic sampled-data controller design for switched Itô stochastic Markovian jump systems

2021 ◽  
Vol 157 ◽  
pp. 105031
Author(s):  
Guoliang Chen ◽  
Chenchen Fan ◽  
James Lam ◽  
Jian Sun ◽  
Jianwei Xia
Keyword(s):  
Controller Design ◽  
Markovian Jump Systems ◽  
Sampled Data ◽  
Markovian Jump ◽  
Data Controller ◽  
Jump Systems

scholarly journals Reachable Set Estimation for Uncertain Markovian Jump Systems with Time-Varying Delay and Disturbances

2021 ◽  
Vol 2021 ◽  
pp. 1-30
Author(s):  
Shouwei Zhou ◽  
Jiangliu Gu ◽  
Changchun Shen ◽  
Min Jiang
Keyword(s):  
Integral Inequality ◽  
Reachable Set ◽  
Time Varying ◽  
Markovian Jump ◽  
Time Varying Delay ◽  
Set Estimation ◽  
Reachable Set Estimation ◽  
Jump Systems ◽  
Uncertain Markovian Jump Systems ◽  
Varying Delay

In this paper, we are concerned with the problem of reachable set estimation for uncertain Markovian jump systems with time-varying delays and disturbances. The main consideration is to find a proper method to obtain the no-ellipsoidal bound of the reachable set of Markovian jump system as small as possible. Based on an augmented Lyapunov–Krasovskii functional, by dividing the time-varying delay into two nonuniform subintervals, more general delay-dependent stability criteria for the existence of a desired ellipsoid are derived. An optimized integral inequality which is based on distinguished Wirtinger integral inequality and reciprocally convex combination inequality is used to deal with the integral terms. Finally, numerical examples are presented to demonstrate the effectiveness of the theoretical results.

Dissipativity-Based Sampled-data Control for Fuzzy Switched Markovian Jump Systems

2020 ◽  
pp. 1-1 ◽  
Author(s):  
Jianwei Xia ◽  
Guoliang Chen ◽  
Ju H. Park ◽  
Hao Shen ◽  
Guamgming Zhuang
Keyword(s):  
Markovian Jump Systems ◽  
Sampled Data ◽  
Markovian Jump ◽  
Data Control ◽  
Sampled Data Control ◽  
Jump Systems
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