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- W2070953453 abstract "Optimal control problems for distributed parameter systems, particularly systems described by partial differential equations, are often treated using mathematical function space techniques. As a result, the equations which define the optimal control are frequently obtained in abstract terms. Numerical solutions are obtained by approximating the abstract operations in a computationally feasible manner. In obtaining approximating solutions, the finite difference method is widely used. After an approximate optimal control has been found, the question arises whether a sequence of these approximating optimal controls converges to an optimal control of the original system. A condition of convergence of a sequence of approximating solutions of initial value problems by the finite difference method was given by H. F. Trotter. This theorem is concerned with a homogeneous system and does not give the condition of convergence of approximating optimal controls for a distributed parameter system. In this paper the condition of convergence of a sequence of approximating solutions is given for the time-optimal control problem and the final value control problem for a class of linear systems with distributed parameters." @default.
- W2070953453 created "2016-06-24" @default.
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- W2070953453 date "1971-05-01" @default.
- W2070953453 modified "2023-09-27" @default.
- W2070953453 title "On the Convergence of Approximating Solutions for Linear Distributed Parameter Optimal Control Problems" @default.
- W2070953453 doi "https://doi.org/10.1137/0309020" @default.
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