Novel delay-dependent asymptotical stability of neutral systems with nonlinear perturbations

Authors:
Lianglin Xiong;Shouming Zhong;Duyu Li
Affiliations:
School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, PR China;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, PR China;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 3
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Abstract

This paper address the asymptotical stability of neutral systems with nonlinear perturbations. Some novel delay-dependent asymptotical stability criteria are formulated in terms of linear matrix inequalities (LMIs). The resulting delay-dependent stability criteria are less conservative than the previous ones, owing to the introduction of free-weighting matrices, based on a class of novel augment Lyapunov functionals. Numerical examples are given to demonstrate that the derived conditions are much less conservative than those given in the literature.