A Brief Tutorial and Survey on Markovian Jump Systems: Stability and Control

2019 ◽  
Vol 5 (2) ◽  
pp. 37-C3
Author(s):  
Ping Zhao ◽  
Yu Kang ◽  
Yun-Bo Zhao
Keyword(s):  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Stability And Control ◽  
Jump Systems ◽  
And Control

scholarly journals Stabilization of Semi-Markovian Jump Systems with Uncertain Probability Intensities and Its Extension to Quantized Control

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Ngoc Hoai An Nguyen ◽  
Sung Hyun Kim ◽  
Jun Choi
Keyword(s):  
Markovian Jump Systems ◽  
Control Synthesis ◽  
Markovian Jump ◽  
Infinitesimal Operator ◽  
Input Quantization ◽  
Quantized Control ◽  
Stabilization Condition ◽  
Jump Systems ◽  
And Control ◽  
Stochastic Lyapunov Function

This paper concentrates on the issue of stability analysis and control synthesis for semi-Markovian jump systems (S-MJSs) with uncertain probability intensities. Here, to construct a more applicable transition model for S-MJSs, the probability intensities are taken to be uncertain, and this property is totally reflected in the stabilization condition via a relaxation process established on the basis of time-varying transition rates. Moreover, an extension of the proposed approach is made to tackle the quantized control problem of S-MJSs, where the infinitesimal operator of a stochastic Lyapunov function is clearly discussed with consideration of input quantization errors.

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