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Delay-dependent Stability Criteria (delay-dependent + stability_criterion)

Distribution by Scientific Domains

Engineering	100%

Selected Abstracts

A delay decomposition approach to delay-dependent stability for linear systems with time-varying delays

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 17 2009
Xian-Ming Zhang
Abstract This paper is concerned with delay-dependent stability for linear systems with time-varying delays. By decomposing the delay interval into multiple equidistant subintervals, on which different Lyapunov functionals are chosen, and new Lyapunov-Krasvskii functionals are then constructed. Employing these new Lyapunov-Krasvskii functionals, some new delay-dependent stability criteria are established. The numerical examples show that the obtained results are less conservative than some existing ones in the literature. Copyright © 2009 John Wiley & Sons, Ltd. [source]

Robust absolute stability criteria for uncertain Lur'e systems of neutral type

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 3 2008
Qing-Long Han
Abstract This paper is concerned with robust absolute stability of uncertain Lur'e systems of neutral type. Some delay-dependent stability criteria are obtained and formulated in the form of linear matrix inequalities. The criteria cover some existing results as their special cases. Neither model transformation nor bounding technique for cross terms is involved through derivation of the stability criteria. Numerical examples show the effectiveness of the criteria. Copyright © 2007 John Wiley & Sons, Ltd. [source]

Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 18 2005
Yong He
Abstract In this paper, an augmented Lyapunov functional is proposed to investigate the asymptotic stability of neutral systems. Two methods with or without decoupling the Lyapunov matrices and system matrices are developed and shown to be equivalent to each other. The resulting delay-dependent stability criteria are less conservative than the existing ones owing to the augmented Lyapunov functional and the introduction of free-weighting matrices. The delay-independent criteria are obtained as an easy corollary. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods. Copyright © 2005 John Wiley & Sons, Ltd. [source]

Mean square exponential stability of generalized stochastic neural networks with time-varying delays,

ASIAN JOURNAL OF CONTROL, Issue 6 2009
Jianjiang Yu
Abstract In this paper, the mean square exponential stability problem is dealt with a class of uncertain generalized stochastic neural networks with time-varying delays. By introducing a new Lyapunov-Krasovskii functional, improved delay-dependent stability criteria are established in terms of linear matrix inequalities. The activation functions are assumed to be of more general descriptions, which generalize and improve those earlier methods. Finally, a numerical example is given to show that our results are less conservative and more efficient than the existing stability criteria. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]