Title :
New Exponential Stability Criterion for Delayed Cellular Neural Networks
Author :
Xinge, Liu ; Xiaobo, Ou ; Meilan, Tang
Author_Institution :
Central South Univ., Changsha
Abstract :
Without assumption of the boundedness of the activation functions, using Lyapunov-Krasovskii functional together with homeomorphism map and linear matrix inequality techniques, a new condition for (i) existence (ii) uniqueness and (iii) global exponential stability of equilibrium point, of a class of time-varying delay cellular neural networks. Our result strengthens and improves the previous results. Numerical example is given to illustrate the effectiveness and improvement of our proposed criterion.
Keywords :
Lyapunov methods; asymptotic stability; cellular neural nets; delay systems; linear matrix inequalities; neurocontrollers; time-varying systems; Lyapunov-Krasovskii functional; exponential stability; homeomorphism map; linear matrix inequality; time-varying delay cellular neural network; Cellular neural networks; Computers; Convergence; Delay effects; Delay lines; Electronic mail; Information science; Linear matrix inequalities; Stability criteria; Symmetric matrices; Equilibrium Point; Exponential Stability; Linear Matrix Inequality; Lyapunov-Krasovskii Functional; Time-Varying Delay;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4346911
