Title :
Exponential stability on a class of delayed neural networks of neutral type
Author :
Li Qiaoping ; Li Wenlin
Author_Institution :
Math. Dept., Henan Inst. of Sci. & Technol., Xinxiang, China
Abstract :
Consider of a class of neural networks of neutral type which have time-varying delay and parametric uncertainties, A sufficient condition is given to provide the uniqueness and exponential stability of the equilibrium point for this system by constructing a Lyapunov function, this method is independent of the amplitude of time delays and it doesn´t have to assume the boundness, strict monotonicity and differentiability of neuron excitation function. this condition is only dependent on the interconnected matrices and derivative of time delays. the criterion can be expressed in terms of LMIs which is easy to deal with. Finally, a numerical example is given to illustrate the effectiveness and feasibility.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neural nets; time-varying systems; LMI; Lyapunov function; delayed neural networks; exponential stability; neutral type; parametric uncertainties; time-varying delay; Artificial neural networks; Asymptotic stability; Delay; Electronic mail; Numerical stability; Stability criteria; Time varying systems; Delayed Neural Networks; Equilibrium Point; Exponential Stability; Neutral Type;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6