# RICCATI EQUATIONS FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH L//2 (0,T; L//2 ( GAMMA ))-DIRICHLET BOUNDARY TERMS.

## Abstract

The regulator problem for second-order (linear) hyperbolic partial differential equations defined on a bounded domain OMEGA CONTAINS R**n with boundary GAMMA is studied. The distinguishing feature of the approach is that the controls are only L//2 (0, infinity ; L//2 ( GAMMA ))--functions which act in the Dirichlet boundary condition while the corresponding solutions left bracket y, y//t right bracket are penalized in the L//2 (0, infinity ; L//2 ( OMEGA )) multiplied by L//2 (0, infinity ; H-**1 ( OMEGA ))-norm.

## Publication Title

Proceedings of the IEEE Conference on Decision and Control

## Recommended Citation

Lasiecka, I., & Triggiani, R.
(1985). RICCATI EQUATIONS FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH L//2 (0,T; L//2 ( GAMMA ))-DIRICHLET BOUNDARY TERMS..* Proceedings of the IEEE Conference on Decision and Control*, 114-116.
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