Discrete time delayed system stability theory in the sense of Lyapunov: new results

2005 International Conference on Control and Automation

Stojanović

Jovanović

et al.

Self Cite

Abstract. This paper gives sufficient conditions for the stability of linear singular continuous delay of the form Eẋ (t) = A 0 x (t) + A 1 x (t − τ ). These new, delay-independent conditions are derived using approach based on Lyapunov's direct method. A numerical example has been working out to show the applicability of results derived. To the best knowledge of the authors, such result have not yet been reported.

Section: Introductionmentioning

confidence: 99%

Further Results on Descriptor Time Delayed System Stability Theory in the sense of Lyapunov: Pandolfi Based Approach

2005 International Conference on Control and Automation

Stojanović

Jovanović

et al.

Self Cite

Lyapunov stability theory: a quite new approach - discrete descriptive time delayed system

2006 American Control Conference

Stojanović

Višnjić

et al. 2006

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Stability of discrete descriptive time delayed system in the sense of Lyapunov

2009 4th IEEE Conference on Industrial Electronics and Applications

Jacic

Višnjić

et al. 2009

This paper gives sufficient conditions for the stability of linear descriptor discrete delay systems of the particular form. These new, delay-independent sufficient conditions are derived using approach based on Lyapunov's direct method. This paper, for the first time, offers a general case in the sense that necessity for regularity of system basic matrix A0 is not any more required what was a general assumption in already existing results in literature. The presented method is a typical geometric approach to the problem exposed and avoids needs to transform then system under consideration into the classical discrete descriptor system. In that sense one is capable to see how much should be matrix 0 A stable to overcome instability caused by the time delay matrix 1 A . Numerical example has been working out to show the applicability of results derived.Index Terms-Descriptor time delayed systems, Asymptotic stability, Lyapunov second method I.