Stability of Neutral Functional Differential Equations: 3 2014th Edition

Stability of Neutral Functional Differential Equations: 3 2014th Edition book cover

Stability of Neutral Functional Differential Equations: 3 2014th Edition

Author(s): Michael I. Gil' (Author)

  • Publisher: Atlantis Press
  • Publication Date: 24 Oct. 2014
  • Edition: 2014th
  • Language: English
  • Print length: 317 pages
  • ISBN-10: 9789462390904
  • ISBN-13: 9789462390904

Book Description

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.

Editorial Reviews

From the Back Cover

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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