On the optimal control of linear systems with linear performance criterion and constraints

2012

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DOI 10.1134/s0012266112060079
Data confidence 70 medium
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Abstract

We suggest an analytical-numerical method for solving a boundary value optimal control problem with state, integral, and control constraints. The embedding principle underlying the method is based on the general solution of a Fredholm integral equation of the first kind and its analytic representation; the method permits one to reduce the boundary value optimal control problem with constraints to an optimization problem with free right end of the trajectory.