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

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.

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Stability of Linear Continuous Singular and Discrete Descriptor Time Delayed Systems

Debeljković¹,

Nestorović²

2011

Time-Delay Systems

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

Cited by 3 publications

References 14 publications

A new approach to the stability of discrete descriptor time delay systems in the sense of non-lyapunov delay independent conditions

A new approach to the stability of discrete descriptor time delay systems in the sense of non-lyapunov delay independent conditions

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

Stability of Linear Continuous Singular and Discrete Descriptor Time Delayed Systems

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