Title :
New Delay-Dependent Exponential Stability for Neural Networks With Time Delay
Author :
Mou, Shaoshuai ; Gao, Huijun ; Qiang, Wenyi ; Chen, Ke
Author_Institution :
Harbin Inst. of Technol., Harbin
fDate :
4/1/2008 12:00:00 AM
Abstract :
In this correspondence, the problem of exponential stability for neural networks with time delay is investigated. By introducing a novel Lyapunov-Krasovskii functional with the idea of delay fractioning, a new criterion of exponential stability is derived and then formulated in terms of a linear matrix inequality. This new criterion proves to be much less conservative than the most recent result, and the conservatism can be notably reduced as the fractioning goes thinner. An example is provided to demonstrate the advantage of the proposed result.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neural nets; Lyapunov-Krasovskii functional; delay fractioning; delay-dependent exponential stability; linear matrix inequality; neural networks; time delay; Exponential stability; Lyapunov–Krasovskii functional; Lyapunov–Krasovskii functional; linear matrix inequality (LMI); neural network (NN); time delay; Algorithms; Decision Support Techniques; Information Storage and Retrieval; Neural Networks (Computer); Nonlinear Dynamics; Pattern Recognition, Automated; Time Factors;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMCB.2007.913124