Stochastic Stability of Genetic Networks With Disturbance Attenuation

2007 ◽  
Vol 54 (10) ◽  
pp. 892-896 ◽  
Author(s):  
Chunguang Li ◽  
Luonan Chen ◽  
Kazuyuki Aihara
Keyword(s):  
Stochastic Stability ◽  
Genetic Networks ◽  
Disturbance Attenuation

H∞ Filtering for Markov Jump Systems with Mixed Modes

2013 ◽  
Vol 706-708 ◽  
pp. 585-588
Author(s):  
Shu Lv ◽  
Shou Ming Zhong ◽  
Yu Cai Ding
Keyword(s):  
Stochastic Stability ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Attenuation Level ◽  
Stochastically Stable ◽  
Disturbance Attenuation Level ◽  
System Mode ◽  
Jump Systems

In this study, H_infinity filtering problem for a class of stochastic Markov jump systems is investigated. The system mode is assumed to be different from the delay mode. The aim of this paper is to design a mode-dependent filter such that the filtering error system is stochastically stable and satisfies a prescribed disturbance attenuation level. By using a mode-dependent Lyapunov functional, mixed mode-dependent sufficient condition on stochastic stability is formulated in terms of linear matrix inequalities. Based on the stochastic stability criterion, an H_infinity filter is developed.

Stochastic stability of a neural model for binocular rivalry

2014 ◽  
Vol 1 ◽  
pp. 739-742
Author(s):  
Tetsuya Shimokawa ◽  
Kenji Leibnitz ◽  
Ferdinand Peper
Keyword(s):  
Binocular Rivalry ◽  
Stochastic Stability ◽  
Neural Model
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