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The infinite-time admissibility of observation operators and operator Lyapunov equations

✍ Scribed by Ming-Chu Gao; Jin-Chuan Hou

Publisher
SP Birkhäuser Verlag Basel
Year
1999
Tongue
English
Weight
486 KB
Volume
35
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

On the characterization of admissible co
On the characterization of admissible control- and observation operators
✍ Klaus-J. Engel 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 75 KB

In this note we give a short proof of a recent result in [2] (Integral Equations Operator Theory 25 (1996) 182-198) which characterizes the admissibility of unbounded observation operators in linear, inÿnite-dimensional control theory. Moreover, we present the analogous result for the admissibility

An optimal control problem with unbounde
An optimal control problem with unbounded control operator and unbounded observation operator where the Algebraic Riccati Equation is satisfied as a Lyapunov equation
✍ R. Triggiani 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 299 KB

We provide an optimal control problem for a one-dimensional hyperbolic equation over = (0, c~), with Dirichlet boundary control u(t) at x = 0, and point observation at x = 1, over an infinite time horizon. Thus, both control and observation operators B and R are unbounded. Because of the finite spee