Title

L2 THEORY FOR THE QUADRATIC OPTIMAL COST PROBLEM OF HYPERBOLIC EQUATIONS WITH CONTROL IN THE DIRICHLET B. C.

Abstract

The authors first establish existence and uniqueness of the optimal control, and then derive a Riccati Differential equation for the feedback synthesis (pointwise in time a. e. ) of the optimal control. Their approach here is 'explicit' in the sense that an operator is first defined in terms of the given dynamics, and only subsequently proved to be a solution of the Riccati Differential equation.

Publication Title

Lecture Notes in Control and Information Sciences

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