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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Cârja, O. On variational perturbations of control problems: Minimum-time problem and minimum-effort problem. J Optim Theory Appl 44, 407–433 (1984). https://doi.org/10.1007/BF00935460
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DOI: https://doi.org/10.1007/BF00935460