H  ∞  control for discrete-time nonlinear Markov jump systems with multiplicative noise and sector constraint

2013 ◽  
Vol 24 (16) ◽  
pp. 2347-2364 ◽  
Author(s):  
Hongji Ma ◽  
Yingmin Jia
Keyword(s):  
Discrete Time ◽  
Multiplicative Noise ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Jump Systems

scholarly journals Spectral Perspective on the Stability of Discrete-Time Markov Jump Systems with Multiplicative Noise

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Ting Hou ◽  
Weihai Zhang ◽  
Hongji Ma
Keyword(s):  
Discrete Time ◽  
Multiplicative Noise ◽  
Mean Square ◽  
Critical Stability ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Mean Square Stability ◽  
Lyapunov Operator ◽  
The Stability ◽  
Jump Systems

We apply the spectrum analysis approach to address the stability of discrete-time Markov jump systems with state-multiplicative noise. In terms of the spectral distribution of a generalized Lyapunov operator, spectral criteria are presented to testify three different kinds of stochastic stabilities: asymptotic mean square stability, critical stability, and essential instability.

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