Title :
New delay-dependent robust stability criteria for cellular neural networks with variable delays and Uncertainties Via LMI approach
Author :
Wu, Haixia ; Zhang, Wei ; Feng, Wei ; Wei, Pengcheng
Author_Institution :
Coll. of Comput. Sci. & Eng., Chongqing Univ., Chongqing
Abstract :
The stability of cellular neural networks (CNNs) with time-varying delays and parametric uncertainties is investigated in the present paper. By introducing a new Lyapunov-Krasovskii functional in virtue of the linearization of the model under investigation and considering the additional useful terms when estimating the upper bound of the derivative of Lyapunov functional, new delay-dependent stability criteria are established in term of linear matrix inequality (LMI). Some numerical simulation examples aimed at justifying the theoretical results are also given.
Keywords :
Lyapunov methods; cellular neural nets; delays; linear matrix inequalities; stability criteria; time-varying systems; LMI; Lyapunov-Krasovskii functional; cellular neural networks; delay-dependent robust stability criteria; linear matrix inequality; parametric uncertainties; time-varying delays; variable delays; Cellular neural networks; Circuit stability; Computer science education; Delay effects; Educational institutions; Neurons; Robust stability; Stability criteria; Uncertainty; Very large scale integration; DCNNs; LMI; robust stability; uncertainties;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4594040
