Title :
Improved delay-dependent stability for neural networks with mixed time-varying delays
Author_Institution :
Sch. of Inf. Sci., Shanghai Ocean Univ., Shanghai, China
Abstract :
This paper proposes improved delay-dependent stability criteria for neural networks with mixed time-varying delays as well as generalized activation functions. By constructing a novel Lyapunov functional and using Jensen inequality, improved stability criteria are derived to guarantee the globally asymptotic stability of the delayed neural networks. The criteria improve over some existing ones in that they have fewer matrix variables yet less conservatism, which is established theoretically. A numerical example is given to show the advantages of the proposed method in effectiveness and conservativeness.
Keywords :
Lyapunov methods; asymptotic stability; delays; neural nets; Jensen inequality; Lyapunov functional; delay-dependent stability criteria; delayed neural networks; globally asymptotic stability; mixed time-varying delays; Asymptotic stability; Circuit stability; Delays; Linear matrix inequalities; Neural networks; Stability criteria; Delay-dependent; Globally asymptotically stable; Linear matrix inequality(LMI); Neural networks;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561289