Title :
Adaptive synchronization of a class of chaotic neural networks with time-varying delays and uncertain parameters
Author :
Li, Aiping ; Yang, Dongsheng ; Yu, Zhengdong ; Sun, Rencai ; Zha, Qingqi
Author_Institution :
Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
Abstract :
This paper is concerned with the asymptotic synchronization of a class of time-varying delayed chaotic neural networks with parameter uncertainties. Using the drive-response concept, in terms of a linear matrix inequality (LMI) and the Lyapunov stability theory, two sufficient conditions for global asymptotic synchronization of uncertain chaotic delayed neural networks are derived under the differentiable and non-differentiable conditions of time-varying delays respectively, which also present a procedure to construct synchronization controllers. Under the non-differentiable condition of time-varying delays, the sufficient condition generalizes and further improves those in the earlier publications. The examples are given to demonstrate the effectiveness of the present method.
Keywords :
Lyapunov methods; chaos; delays; linear matrix inequalities; neural nets; stability; synchronisation; Lyapunov stability theory; adaptive synchronization; chaotic neural networks; global asymptotic synchronization; linear matrix inequality; parameter uncertainties; sufficient conditions; synchronization controllers; time-varying delays; uncertain parameters; Adaptive control; Chaos; Chaotic communication; Control systems; Hopfield neural networks; Linear matrix inequalities; Neural networks; Programmable control; Sufficient conditions; Uncertain systems; Adaptive synchronization; Chaotic neural networks; Linear matrix inequality; parameter uncertainties;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498794