Exponential stability criteria for discrete time‐delay systems

descriptionPublicationkeyboard_double_arrow_right Article 11 Nov 2013 English Publisher:WileyJournal:International Journal of Robust and Nonlinear Control, volume 25, pages 527-541 (issn: 1049-8923, eissn: 1099-1239,

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Authors: Medina, Rigoberto; Martinez, Carlos;

doi: 10.1002/rnc.3103

Exponential stability criteria for discrete time‐delay systems

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Abstract

SummaryIn this paper, we study the exponential stability of linear discrete time‐delay systems with slowly varying coefficients and nonlinear perturbations. We establish the robustness of the exponential stability in Hilbert spaces, in the sense that the exponential stability for a given linear equation persists under sufficiently small perturbations. As an application of the main results, we discuss the exponential stability of a general nonlinear system. The main novelty of this work is that we always consider the exponential behavior of solutions with respect to an specific ball. Copyright © 2013 John Wiley & Sons, Ltd.

Related Organizations

University of Los Lagos
Chile

Keywords

Asymptotic stability in control theory, Discrete-time control/observation systems, exponential stability, Linear systems in control theory, quasi-Hermitian operators, slowly varying coefficients, discrete time systems

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