Stability of Neutral Functional Differential Equations
(Sprache: Englisch)
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...
The main methodology used is based on a...
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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.
Inhaltsverzeichnis zu „Stability of Neutral Functional Differential Equations “
Preliminaries.- Eigenvalues and Functions of Matrices.- Difference Equations with Continuous Time.- Linear Differential Delay Equations.- Linear Autonomous NDEs.- Linear Time-variant NDEs.- Nonlinear Vector NDEs.- Absolute Stability of Scalar NDEs.- Bounds for Characteristic Values of NDEs.Bibliographische Angaben
- Autor: Michael Gil'
- 2014, 2014, XIII, 304 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 9462390908
- ISBN-13: 9789462390904
- Erscheinungsdatum: 24.10.2014
Sprache:
Englisch
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