Finite-time stability and stabilization for stochastic markov jump systems with mode-dependent time delays

2017 ◽  
Vol 68 ◽  
pp. 141-149 ◽  
Author(s):  
Zhiguo Yan ◽  
Yunxia Song ◽  
Ju H. Park
Keyword(s):  
Finite Time ◽  
Time Delays ◽  
Time Stability ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Finite Time Stability ◽  
Stability And Stabilization ◽  
Jump Systems

scholarly journals Finite-TimeH∞Control for Discrete-Time Markov Jump Systems with Actuator Saturation

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Bo Li ◽  
Junjie Zhao
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Actuator Saturation ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Finite Time Stability ◽  
Time Control ◽  
Jump Systems

This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-timeH∞controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

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