Structure of Riccati Equation Solutions in Optimal Boundary Control of Hyperbolic Equations with Quadratic Cost Functionals.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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This paper concerns the question of minimizing a quadratic cost functional associated with a linear symmetric hyperbolic control system over a finite time interval. A necessary and sufficient condition for a solution to exist is developed in terms of the solution of a two-point boundary value problem TPBVP. The TPBVP is solved under various conditions. The limit case of an infinite time interval is also considered.
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