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

fYear

2008

fDate

25-27 June 2008

Firstpage

7217

Lastpage

7221

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/WCICA.2008.4594040

Filename

4594040