Stability of Neutral Functional Differential Equations

In this monograph the author presents explicit conditions for the exponential, absolute  and  input-to-state stabilities -- including solution estimates -- of certain types of functional differential equations. The main methodology used is based on a combination of recent norm estimates for matrix-v...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gil', Michael I. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Paris : Atlantis Press : Imprint: Atlantis Press, 2014.
Edición:1st ed. 2014.
Colección:Atlantis Studies in Differential Equations, 3
Temas:
Difference equations.
Functional equations.
System theory.
Control theory.
Algebras, Linear.
Difference and Functional Equations.
Systems Theory, Control .
Linear Algebra.
Acceso en línea:Texto Completo
Descripción
Sumario:In this monograph the author presents explicit conditions for the exponential, absolute  and  input-to-state stabilities -- including solution estimates -- of certain types of functional differential equations. The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the positivity of fundamental solutions. A significant part of the book is especially devoted  to the solution of the generalized Aizerman problem.
Descripción Física:XIII, 304 p. online resource.
ISBN:9789462390911
ISSN:2214-6261 ;

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