Comments on “Design of sampled data state estimator for Markovian jumping neural networks with leakage time-varying delays and discontinuous Lyapunov functional approach”

2014 ◽  
Vol 77 (3) ◽  
pp. 1069-1076 ◽  
Author(s):  
R. Rakkiyappan ◽  
Quanxin Zhu
Keyword(s):  
Neural Networks ◽  
Lyapunov Functional ◽  
Functional Approach ◽  
Time Varying ◽  
Sampled Data ◽  
State Estimator ◽  
Markovian Jumping ◽  
Discontinuous Lyapunov Functional

State estimator for neural networks with sampled data using discontinuous Lyapunov functional approach

2013 ◽  
Vol 73 (1-2) ◽  
pp. 509-520 ◽  
Author(s):  
S. Lakshmanan ◽  
Ju H. Park ◽  
R. Rakkiyappan ◽  
H. Y. Jung
Keyword(s):  
Neural Networks ◽  
Lyapunov Functional ◽  
Functional Approach ◽  
Sampled Data ◽  
State Estimator ◽  
Discontinuous Lyapunov Functional

Delay-Dependent Asymptotical Stabilization Criterion of Recurrent Neural Networks

2013 ◽  
Vol 330 ◽  
pp. 1045-1048 ◽  
Author(s):  
Grienggrai Rajchakit
Keyword(s):  
Neural Networks ◽  
Recurrent Neural Networks ◽  
Lyapunov Functional ◽  
Functional Approach ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Weighting Matrix ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper deals with the problem of delay-dependent stability criterion of discrete-time recurrent neural networks with time-varying delays. Based on quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criteria are found to guarantee delay-dependent asymptotical stability of these systems. And one example illustrates the exactness of the proposed criteria.

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