Exact null controllability, complete stabilizability and continuous final observability of neutral type systems
| Autor: | Pavel Yu. Barkhayev, Grigory M. Sklyar, Rabah Rabah |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
Pure mathematics Duality (mathematics) exact null controllability Mathematics::Optimization and Control neutral type system 02 engineering and technology Type (model theory) 01 natural sciences symbols.namesake 020901 industrial engineering & automation Computer Science::Systems and Control Computer Science (miscellaneous) QA1-939 Observability 0101 mathematics Engineering (miscellaneous) complete stabilizability Mathematics Applied Mathematics 010102 general mathematics Null (mathematics) Linear system Hilbert space QA75.5-76.95 final observability Controllability Bounded function Electronic computers. Computer science symbols |
| Zdroj: | International Journal of Applied Mathematics and Computer Science, Vol 27, Iss 3, Pp 489-499 (2017) |
| ISSN: | 2083-8492 |
| Popis: | For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property being related to exact null controllability. We also consider the case when the feedback is not bounded. We obtain a characterization of complete stabilizability for neutral type systems. Conditions for exact null controllability of neutral type systems are discussed. By duality, we obtain a result about continuous final observability. Illustrative examples are given. |
| Databáze: | OpenAIRE |
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