Title :
A New Criterion of Global Exponential Robust Stability of Periodic Solution for the Static Neural Network with Time-Delays
Author :
Cui, Hai-Rong ; Guo, Chun-Feng ; Wang, Yang-Fan ; Wang, Lin-Shan
Author_Institution :
Coll. of Software Technol., QingDao Univ., Qingdao
Abstract :
The dynamics of the local field neural networks have been studied extensively, and many good results have been obtained. It should be pointed out that, the global robust stability for the static neural networks with time-delays received very little attention despite its practical importance. Based on the fixed point theory, Lyapunov functional and differential inequality technique, a new criterion of global exponential robust stability of periodic solution for the static neural networks with time delays is derived. An example is exploited to show the usefulness of the derived global exponential robust stability conditions.
Keywords :
Lyapunov methods; asymptotic stability; delays; differential algebraic equations; functional analysis; neural nets; Lyapunov functional technique; differential inequality technique; fixed point theory; global exponential robust stability; periodic solution; static neural network; time delays; Cellular neural networks; Computer science; Delay; Educational institutions; Hopfield neural networks; Neural networks; Neurons; Oceans; Robust stability; Software engineering;
Conference_Titel :
Computer Science and Software Engineering, 2008 International Conference on
Conference_Location :
Wuhan, Hubei
Print_ISBN :
978-0-7695-3336-0
DOI :
10.1109/CSSE.2008.1399