Title :
Global Exponential Stability of Discrete-Time BAM Neural Networks With Variable Delays
Author :
Liu, Xin-Ge ; Wu, Min ; Tang, Mei-Lan ; Liu, Xin-Bi
fDate :
May 30 2007-June 1 2007
Abstract :
Without the boundedness assumption for the activation functions and without any extra constraints on variable delay functions, based on Lyapunov functional, homeomorphism map, techniques of inequalities and linear matrix inequality(LMI), a new delay-dependent stability criterion for (i) existence (ii) uniqueness and (iii) globally exponential stability of equilibrium point, of a class of discrete-time bidirectional associative memory (BAM) neural networks with variable delays is derived.
Keywords :
asymptotic stability; content-addressable storage; delay systems; discrete time systems; linear matrix inequalities; neural nets; transfer functions; Lyapunov functional; activation functions; boundedness assumption; delay-dependent stability criterion; discrete-time BAM neural networks; discrete-time bidirectional associative memory neural networks; global exponential stability; homeomorphism map; linear matrix inequality; variable delay functions; variable delays; Automatic control; Automation; Centralized control; Delay; Linear matrix inequalities; Magnesium compounds; Neural networks; Neurons; Stability criteria; Symmetric matrices;
Conference_Titel :
Control and Automation, 2007. ICCA 2007. IEEE International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4244-0817-7
Electronic_ISBN :
978-1-4244-0818-4
DOI :
10.1109/ICCA.2007.4376940
