numerical method for solving optimal control problem of the linear differential systems with inequality constraints
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abstract
in this paper, an efficient method for solving optimal control problemsof the linear differential systems with inequality constraint is proposed. by usingnew adjustment of hat basis functions and their operational matrices of integration,optimal control problem is reduced to an optimization problem. also, the erroranalysis of the proposed method is investigated and it is proved that the order ofconvergence is o(h4). finally, numerical examples affirm the efficiency of theproposed method.
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In this paper, an efficient method for solving optimal control problems of the linear differential systems with inequality constraint is proposed. By using new adjustment of hat basis functions and their operational matrices of integration, optimal control problem is reduced to an optimization problem. Also, the error analysis of the proposed method is nvestigated and it is proved that the orde...
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Journal title:
computational methods for differential equationsجلد ۴، شماره ۳، صفحات ۲۳۰-۲۴۸
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