Title :
Delay-range-dependent stability for static recurrent neural networks with time-varying delays
Author :
Zhang, Wei ; Feng, Wei ; Wu, Haixia
Author_Institution :
Dept. of Comput. & Modern Educ. Technol., Chongqing Educ. Coll., Chongqing, China
Abstract :
This paper studies the asymptotic stability analysis for static recurrent neural networks with interval time-varying delays. The activation functions are assumed to be neither monotonic, nor differentiable, nor bounded. Without introducing any free-weighting matrices, some delay-range-dependent stability criteria are established by constructing a new Lyapunov-Krasovskii functional. As a result, the criteria involve less variables and have low computational complexity. An example is given to show the effectiveness and the benefits of the proposed method.
Keywords :
asymptotic stability; computational complexity; delays; linear matrix inequalities; recurrent neural nets; time-varying systems; Lyapunov-Krasovskii functional; activation functions; asymptotic stability analysis; computational complexity; delay-range-dependent stability; static recurrent neural networks; time-varying delays; Asymptotic stability; Computational complexity; Computer science education; Delay; Hopfield neural networks; Neural networks; Neurons; Recurrent neural networks; Stability analysis; Stability criteria; LMI; delay-range-dependent stability; static recurrent neural networks; time-varying delays;
Conference_Titel :
Computational Intelligence and Industrial Applications, 2009. PACIIA 2009. Asia-Pacific Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4606-3
DOI :
10.1109/PACIIA.2009.5406473