Title :
New conditions for dynamical behaviors of cellular neural networks with time-varying delays
Author :
Mao, Zisen ; Dou, Feifei ; Cheng, Lijun
Author_Institution :
Coll. of Sci., PLA Univ. of Sci. & Technol., Nanjing, China
Abstract :
In this paper, a model describing dynamics of cellular neural networks with time-varying delays is considered. Without assuming Lipschitz conditions on activation functions, by employing Brouwer´s fixed point theorem and applying inequality technique, some new sufficient conditions on the existence, uniqueness and exponential stability of equilibrium point are obtained. Finally, two examples with their numerical simulations are provided to show the correctness of our analysis.
Keywords :
asymptotic stability; cellular neural nets; delays; numerical analysis; time-varying systems; Brouwer fixed point theorem; Lipschitz conditions; activation functions; cellular neural networks; dynamical behaviors; equilibrium point; exponential stability; inequality technique; numerical simulations; time-varying delays; Asymptotic stability; Cellular neural networks; Delay; Neurons; Stability criteria; Cellular neural networks; Equilibrium point; Exponential stability; Time-varying delays;
Conference_Titel :
Image and Signal Processing (CISP), 2011 4th International Congress on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-9304-3
DOI :
10.1109/CISP.2011.6099949
