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Abstract <p> In this article, a generalized quasi-one-sided Lipschitz condition is introduced toinvestigate the stabilization problem for a kind of discrete-time nonlinear systems with multipledelays. The feedback stabilization and observer-based stabilization for discrete-time nonlinearmultiple delays systems are studied, respectively. By utilizing generalized quasi-one-sidedLipschitz condition, the discrete-time nonlinear multiple delays systems can achieve feedbackstabilization and observer-based stabilization even if the linear parameter<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12002_2025_5131_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\((A_{0},B)\)</EquationSource> </InlineEquation> is not stabilizable and parameter<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12002_2025_5131_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\((A_{0},C)\)</EquationSource> </InlineEquation> is not detectable, which fully demonstrates the superiority of this condition inenhancing the robust stability of nonlinear systems. A numerical example is proposed to illustratethe feasibility and correctness of obtained results.</p>

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Stabilization of Discrete-Time Generalized Quasi-One-Sided Lipschitz Nonlinear Systems with Multiple Delays

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • W. Q. Dong

摘要

Abstract

In this article, a generalized quasi-one-sided Lipschitz condition is introduced toinvestigate the stabilization problem for a kind of discrete-time nonlinear systems with multipledelays. The feedback stabilization and observer-based stabilization for discrete-time nonlinearmultiple delays systems are studied, respectively. By utilizing generalized quasi-one-sidedLipschitz condition, the discrete-time nonlinear multiple delays systems can achieve feedbackstabilization and observer-based stabilization even if the linear parameter \((A_{0},B)\) is not stabilizable and parameter \((A_{0},C)\) is not detectable, which fully demonstrates the superiority of this condition inenhancing the robust stability of nonlinear systems. A numerical example is proposed to illustratethe feasibility and correctness of obtained results.