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.
Produkt-Info
Reihe
Sprache
Verlagsort
Zielgruppe
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Maße
Höhe: 241 mm
Breite: 159 mm
Dicke: 25 mm
Gewicht
ISBN-13
978-94-6239-090-4 (9789462390904)
DOI
10.2991/978-94-6239-091-1
Schweitzer Klassifikation
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.