Finite‐time annular domain stability and stabilization for stochastic Markovian switching systems driven by Wiener and Poisson noises

2020 ◽  
Author(s):  
Shiyu Zhong ◽  
Weihai Zhang ◽  
Zhiguo Yan
Keyword(s):  
Finite Time ◽  
Markovian Switching ◽  
Switching Systems ◽  
Annular Domain ◽  
Markovian Switching Systems ◽  
Stability And Stabilization ◽  
Domain Stability

L1 finite-time stabilization for positive semi-Markovian switching systems

2019 ◽  
Vol 477 ◽  
pp. 321-333 ◽  
Author(s):  
Wenhai Qi ◽  
Ju H. Park ◽  
Guangdeng Zong ◽  
Jun Cheng
Keyword(s):  
Finite Time ◽  
Markovian Switching ◽  
Switching Systems ◽  
Markovian Switching Systems ◽  
Finite Time Stabilization

Stochastic Finite-Time Stability of Nonlinear Markovian Switching Systems With Impulsive Effects

2011 ◽  
Vol 134 (1) ◽  
Author(s):  
Jia Xu ◽  
Jitao Sun ◽  
Dong Yue
Keyword(s):  
Finite Time ◽  
Sufficient Conditions ◽  
Markovian Switching ◽  
Impulsive Effects ◽  
Linear Matrix ◽  
Switching Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Markovian Switching Systems ◽  
Linear Matrix Inequality Approach

In this paper, we introduce a new concept of stochastic finite-time stability for a class of nonlinear Markovian switching systems with impulsive effects. Based on the linear matrix inequality approach, sufficient conditions for the system to be stochastic finite-time stable are derived. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed conditions.

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