Perspectives in Control Theory pp 175-210 | Cite as

# Algebraic Riccati equations arising in boundary/point control: A review of theoretical and numerical results Part I: Continuous case

Chapter

## Abstract

Consider the following optimal control problem: Given the dynamical system minimize the quadratic functional over all u ∈ L

$$ {y_t} = Ay + Bu;\quad y\left( 0 \right) = {y_0} \in y $$

(1.1)

$$ J\left( {u,y} \right) = \int\limits_0^\infty {\left[ {||RY\left( t \right)||\frac{2}{Z} + ||u\left( t \right)||\frac{2}{U}} \right]} dt $$

(1.2)

_{2}(0, ∞, U), with y solution of (1.1) due to u.## Keywords

Optimal Control Problem Riccati Equation Hyperbolic Equation Regularity Result Abstract Setting
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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