Title :
Dynamics of neural systems with distributed delays and diffusion
Author :
Xuyang Lou ; Qian Ye ; Baotong Cui
Author_Institution :
Sch. of IoT Eng., Jiangnan Univ., Wuxi, China
Abstract :
The paper analyzes global exponential stability of reaction-diffusion cellular neural networks with distributed delays. Some sufficient conditions are proposed to guarantee the global exponential stability of the cellular neural networks by exploiting a delay differential inequality. The conditions are formulated as an M-matrix. Different from the method in the literature, without making use of Lyapunov functionals, the method in this paper is simple and effective for the stability analysis of neural networks with delay.
Keywords :
Lyapunov matrix equations; asymptotic stability; cellular neural nets; delays; Lyapunov functionals; M-matrix; distributed delays; global exponential stability; neural systems; reaction-diffusion cellular neural networks; Asymptotic stability; Cellular neural networks; Control theory; Delays; Stability analysis; Cellular neural networks; M-matrix; delay differential inequality; global exponential stability; reaction-diffusion;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2014 11th World Congress on
DOI :
10.1109/WCICA.2014.7053517
