Stabilizability and Controllability of Spatially Invariant P.D.E. Systems
| Autor: | Ruth F. Curtain |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Semigroup
Multiplicative function Mathematical analysis Hilbert space Computer Science Applications Exponential function Controllability symbols.namesake Control and Systems Engineering Distributed parameter system Bounded function symbols Applied mathematics Observability Electrical and Electronic Engineering Mathematics |
| Zdroj: | IEEE Transactions on Automatic Control. 60:383-392 |
| ISSN: | 1558-2523 0018-9286 |
| DOI: | 10.1109/tac.2014.2348212 |
| Popis: | In this paper, we derive new readily testable criteria for exponential stabilizability, approximate controllability, and exact controllability for multiplicative systems arising from linear partial differential equations on an infinite domain. These multiplicative systems have an unbounded semigroup generator, but bounded input and output operators. The theoretical results are illustrated by several examples. In particular, explicit, easily verifiable conditions for exponential stabilizability, approximate and exact controllability are given for second-order P.D.E. systems. Dual results for exponential detectability, approximate and exact observability are also included. |
| Databáze: | OpenAIRE |
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