Delay-Independent Closed-Loop Stabilization of Neutral System with Infinite Delays

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Stabilization of Neutral System with Infinite Delays</title> <meta name="description" content="Delay-Independent Closed-Loop Stabilization of Neutral System with Infinite Delays"> <meta name="keywords" content="infinite delays, Lyapunov method, linear matrix inequality, neutral systems, stability"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img 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publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Delay-Independent Closed-Loop Stabilization of Neutral System with Infinite Delays</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Iyai%20Davies">Iyai Davies</a>, <a href="https://publications.waset.org/abstracts/search?q=Olivier%20L.%20C.%20Haas"> Olivier L. C. Haas</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the problem of stability and stabilization for neutral delay-differential systems with infinite delay is investigated. Using Lyapunov method, new delay-independent sufficient condition for the stability of neutral systems with infinite delay is obtained in terms of linear matrix inequality (LMI). Memory-less state feedback controllers are then designed for the stabilization of the system using the feasible solution of the resulting LMI, which are easily solved using any optimization algorithms. Numerical examples are given to illustrate the results of the proposed methods. <iframe src="https://publications.waset.org/abstracts/36298.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=infinite%20delays" title="infinite delays">infinite delays</a>, <a href="https://publications.waset.org/abstracts/search?q=Lyapunov%20method" title=" Lyapunov method"> Lyapunov method</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20matrix%20inequality" title=" linear matrix inequality"> linear matrix inequality</a>, <a href="https://publications.waset.org/abstracts/search?q=neutral%20systems" title=" neutral systems"> neutral systems</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a 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Delay-Independent Closed-Loop Stabilization of Neutral System with Infinite Delays