CONTROLLABILITY AND OBSERVABILITY FOR NON-AUTONOMOUS EVOLUTION EQUATIONS: THE AVERAGED HAUTUS TEST
| Autor: | Duc-Trung Hoang, El Maati Ouhabaz, Bernhard H. Haak |
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| Přispěvatelé: | Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), ANR-16-CE92-0028,INFIDHEM,Systèmes interconnectés de dimension infinie pour les milieux hétérogènes(2016) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Class (set theory) General Computer Science 02 engineering and technology Schrödinger equation symbols.namesake 020901 industrial engineering & automation Mathematics - Analysis of PDEs 35Q93 93B07 FOS: Mathematics 0202 electrical engineering electronic engineering information engineering Applied mathematics [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Observability Electrical and Electronic Engineering Mathematics - Optimization and Control Mathematics Mechanical Engineering 020208 electrical & electronic engineering Damped wave Controllability Optimization and Control (math.OC) Control and Systems Engineering symbols [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] Analysis of PDEs (math.AP) |
| Zdroj: | Systems & Control Letters Systems & Control Letters, 2019, 133 |
| ISSN: | 0167-6911 |
| Popis: | We consider the observability problem for non-autonomous evolution systems (i.e., the operators governing the system depend on time). We introduce an averaged Hautus condition and prove that for skew-adjoint operators it characterizes exact observability. Next, we extend this to more general class of operators under a growth condition on the associated evolution family. We give an application to the Schr\"odinger equation with time dependent potential and the damped wave equation with a time dependent damping coefficient. Comment: 14p |
| Databáze: | OpenAIRE |
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