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On the stability of a class of slowly varying...
Journal article

On the stability of a class of slowly varying systems

Abstract

Slowly varying systems are common in physics and control engineering and thus stability analysis for those systems has drawn considerable attention in the literature. This paper uses the “frozen time approach” to derive Lyapunov inequality conditions for the stability of a wide class of slowly varying systems. These conditions refine those developed in (Khalil in Nonlinear Systems, 2002) and display generality and effectiveness for both linear and nonlinear systems. To illustrate the utility of the proposed results, an example has been included.

Authors

Naser MFM; Gumah GN; Al-Omari SK; Bdair OM

Journal

Journal of Inequalities and Applications, Vol. 2018, No. 1,

Publisher

Springer Nature

Publication Date

January 1, 2018

DOI

10.1186/s13660-018-1934-1

ISSN

1025-5834

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