Stability of Neutral Functional Differential Equations
Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Mathematics, Mathematical Analysis
| 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.
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.
