On variational perturbations of control problems: Minimum-time problem and minimum-effort problem |
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Authors: | O Cârja |
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Institution: | (1) Institute of Mathematics, Faculty of Mathematics, University of Iasi, Iasi, Romania |
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Abstract: | In order to obtain numerical solutions for an abstract optimal control problem, one approximates the abstract operations in a computationally feasible manner. After having found an approximate optimal solution, the question is whether a sequence of these approximate optimal solutions converges to an optimal solution of the original problem. In this work, we are concerned with this type of convergence on the time-optimal control problem for a class of linear systems with distributed parameters and on the minimum-effort problem. |
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Keywords: | Variational perturbations minimal-time problem minimal-time function minimum-effort problem functional analysis |
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