Reachable set estimation of singular semi-Markov jump systems

2021 ◽  
Author(s):  
Liang Zhang ◽  
Ben Niu ◽  
Ning Zhao ◽  
Xudong Zhao ◽  
Yang Yang
Keyword(s):  
Reachable Set ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Set Estimation ◽  
Reachable Set Estimation ◽  
Jump Systems

Reachable set estimation for Markov jump LPV systems with time delays

2020 ◽  
Vol 376 ◽  
pp. 125117 ◽  
Author(s):  
Xuelian Wang ◽  
Jianwei Xia ◽  
Jing Wang ◽  
Zhen Wang ◽  
Jian Wang
Keyword(s):  
Time Delays ◽  
Reachable Set ◽  
Markov Jump ◽  
Set Estimation ◽  
Lpv Systems ◽  
Reachable Set Estimation

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.

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