Start Date
4-1969 8:00 AM
Description
In this paper, a class of optimal control problems with state variable inequality constraints is considered. Problems in this class are called separable, because their constrained and unconstrained subarcs can be computed independently of one another. Thus, the separable problem with n subarcs on the boundary can be decomposed into n + 1 independent two point boundary value problems.
A criterion for detecting separable problems is developed and applied to an example. A method for solving the n + 1 independent two-point boundary value problems is outlined and applied to the solution of the example problem. Finally, a sufficient condition for local optimality of an extremal solution to a bounded state variable problem is developed. A procedure for applying this condition is outlined.
On Separate Computation of Arcs for Optimal Control Problems with State Variable Inequality Constraints
In this paper, a class of optimal control problems with state variable inequality constraints is considered. Problems in this class are called separable, because their constrained and unconstrained subarcs can be computed independently of one another. Thus, the separable problem with n subarcs on the boundary can be decomposed into n + 1 independent two point boundary value problems.
A criterion for detecting separable problems is developed and applied to an example. A method for solving the n + 1 independent two-point boundary value problems is outlined and applied to the solution of the example problem. Finally, a sufficient condition for local optimality of an extremal solution to a bounded state variable problem is developed. A procedure for applying this condition is outlined.
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