Stability of Neutral Functional Differential Equations

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Mathematics, Mathematical Analysis
Cover of the book Stability of Neutral Functional Differential Equations by Michael I. Gil', Atlantis Press
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Author: Michael I. Gil' ISBN: 9789462390911
Publisher: Atlantis Press Publication: October 8, 2014
Imprint: Atlantis Press Language: English
Author: Michael I. Gil'
ISBN: 9789462390911
Publisher: Atlantis Press
Publication: October 8, 2014
Imprint: Atlantis Press
Language: English

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.

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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.

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