Exponential Stabilization of Time-Delayed Systems with Markovian Jumping

2012 ◽  
Author(s):  
Shuping He
Keyword(s):  
Exponential Stabilization ◽  
Markovian Jumping ◽  
Delayed Systems

scholarly journals Robust Exponential Stabilization of Stochastic Delay Interval Recurrent Neural Networks with Distributed Parameters and Markovian Jumping by Using Periodically Intermittent Control

2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
Junhao Hu ◽  
Yunjian Peng ◽  
Yan Li
Keyword(s):  
Neural Networks ◽  
Recurrent Neural Networks ◽  
Sufficient Conditions ◽  
Exponential Stabilization ◽  
Intermittent Control ◽  
Markovian Jumping ◽  
Stochastic Delay ◽  
Periodically Intermittent Control ◽  
Distributed Parameters ◽  
Robust Exponential Stabilization

We consider a class of stochastic delay recurrent neural networks with distributed parameters and Markovian jumping. It is assumed that the coefficients in these neural networks belong to the interval matrices. Several sufficient conditions ensuring robust exponential stabilization are derived by using periodically intermittent control and Lyapunov functional. The obtained results are very easy to verify and implement, and improve the existing results. Finally, an example with numerical simulations is given to illustrate the presented criteria.

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