Functional analysis approach for delay systems of neutral type

Autor:	Rabah Rabah, Grigory Sklyar
Přispěvatelé:	Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN), Mines Nantes (Mines Nantes)-École Centrale de Nantes (ECN)-Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN)-Université de Nantes (UN)-PRES Université Nantes Angers Le Mans (UNAM)-Centre National de la Recherche Scientifique (CNRS), Institute of Mathematics, University of Szczecin, University of Szczecin
Jazyk:	angličtina
Rok vydání:	2009
Předmět:	34K40 93B05 93C23 34K06 Neutral type systems [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] stabilizability exact controllability [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] stability
Zdroj:	Analysis and Applications Analysis and Applications, Sep 2009, Szczecin-Swinoujscie, Poland HAL
Popis:	Linear delay systems of neutral type are presented using the Hilbert space analysis approach. We consider in particular the problem of asymptotic non-exponential stability and the corresponding property of stabilizability for controlled systems. The main tool is the Riesz basis property of eigenspaces. This property is also used for the exact controllability via the moment problem approach.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::06b44677f3a5c397caf639c85c5bd6a6 https://hal.archives-ouvertes.fr/hal-00426826 Zobrazit plný text záznamu