Optimal Control of Volterra Integro-Differential Systems Based on Legendre Wavelets and Collocation Method

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Integro-Differential Systems Based on Legendre Wavelets and Collocation Method</title> <meta name="description" content="Optimal Control of Volterra Integro-Differential Systems Based on Legendre Wavelets and Collocation Method"> <meta name="keywords" content="collocation method, Legendre wavelet, optimal control, Volterra integro-differential equation"> <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 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87513</div> </div> </div> </div> <div class="card publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Optimal Control of Volterra Integro-Differential Systems Based on Legendre Wavelets and Collocation Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Khosrow%20Maleknejad">Khosrow Maleknejad</a>, <a href="https://publications.waset.org/abstracts/search?q=Asyieh%20Ebrahimzadeh"> Asyieh Ebrahimzadeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the numerical solution of optimal control problem (OCP) for systems governed by Volterra integro-differential (VID) equation is considered. The method is developed by means of the Legendre wavelet approximation and collocation method. The properties of Legendre wavelet accompany with Gaussian integration method are utilized to reduce the problem to the solution of nonlinear programming one. Some numerical examples are given to confirm the accuracy and ease of implementation of the method. <iframe src="https://publications.waset.org/abstracts/5005.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=collocation%20method" title="collocation method">collocation method</a>, <a href="https://publications.waset.org/abstracts/search?q=Legendre%20wavelet" title=" Legendre wavelet"> Legendre wavelet</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20control" title=" optimal control"> optimal control</a>, <a href="https://publications.waset.org/abstracts/search?q=Volterra%20integro-differential%20equation" title=" Volterra integro-differential equation"> Volterra integro-differential equation</a> </p> <a 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Optimal Control of Volterra Integro-Differential Systems Based on Legendre Wavelets and Collocation Method