Ebook: Stability of Neutral Functional Differential Equations
Author: Michael I. Gil' (auth.)
- Tags: Difference and Functional Equations, Systems Theory Control, Linear and Multilinear Algebras Matrix Theory
- Series: Atlantis Studies in Differential Equations 3
- Year: 2014
- Publisher: Atlantis Press
- Edition: 1
- Language: English
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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.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.