New stochastic robust stability criteria for time-varying delay neural networks with Markovian jump parameters

2008 ◽  
Author(s):  
Qiu Jiqing ◽  
Shi Peng ◽  
Yang Hongjiu ◽  
Li Li ◽  
Li Jie
Keyword(s):  
Neural Networks ◽  
Robust Stability ◽  
Time Varying ◽  
Stability Criteria ◽  
Markovian Jump ◽  
Markovian Jump Parameters ◽  
Time Varying Delay ◽  
Varying Delay

Delay-Dependent Robust Stability of Cellular Neural Networks with Time-Varying Discrete and Distributed Delay

2011 ◽  
Vol 50-51 ◽  
pp. 915-918
Author(s):  
Wei Wei Wang ◽  
Wei Wei Su ◽  
Yi Ming Chen
Keyword(s):  
Neural Networks ◽  
Robust Stability ◽  
Distributed Delay ◽  
Time Varying ◽  
Stability Criteria ◽  
Numerical Examples ◽  
Time Varying Delay ◽  
Cross Terms ◽  
Delay Dependent ◽  
Varying Delay

Delay-dependent robust stability of neural networks with discrete and distributed delays is considered in this paper. Stability criteria are derived in LMIs avoiding bounding certain cross terms and the restriction of derivative of time-varying delay is removed. Numerical examples are given to indicate significant improvements over some existing results.

Delay-dependent robust stability criteria for stochastic neural networks of neutral-type with interval time-varying delay and linear fractional uncertainties

2014 ◽  
Vol 24 (5) ◽  
Author(s):  
GUOQUAN LIU ◽  
SIMON X. YANG ◽  
YI CHAI ◽  
WEI FU
Keyword(s):  
Neural Networks ◽  
Robust Stability ◽  
Neutral Type ◽  
Stochastic Neural Networks ◽  
Time Varying ◽  
Stability Criteria ◽  
Interval Time ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
Varying Delay

In this paper, we investigate the problem of robust stability for a class of delayed neural networks of neutral-type with linear fractional uncertainties. The activation functions are assumed to be unbounded, non-monotonic and non-differentiable, and the delay is assumed to be time-varying and belonging to a given interval, which means that the lower and upper bounds of the interval time-varying delay are available. By constructing a general form of the Lyapunov–Krasovskii functional, and using the linear matrix inequality (LMI) approach, we derive several delay-dependent stability criteria in terms of LMI. Finally, we give a number of examples to illustrate the effectiveness of the proposed method.

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