New Conditions for the Exponential Stability of Nonlinear Differential Equations
Author
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-04-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We develop a method for proving local exponential stability of nonlinear nonautonomous differential equations as well as pseudo-linear differential systems.
The logarithmic norm technique combined with the “freezing” method is used to study stability of differential systems with slowly varying coefficients and nonlinear perturbations.
Testable conditions for local exponential stability of pseudo-linear differential systems are given.
Besides, we establish the robustness of the exponential stability in finite-dimensional spaces, in the sense that the exponential stability for a given linear equation persists under sufficiently small perturbations.
We illustrate the application of this test to linear approximations of the differential systems under consideration.
American Psychological Association (APA)
Medina, Rigoberto. 2017. New Conditions for the Exponential Stability of Nonlinear Differential Equations. Abstract and Applied Analysis،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1120822
Modern Language Association (MLA)
Medina, Rigoberto. New Conditions for the Exponential Stability of Nonlinear Differential Equations. Abstract and Applied Analysis No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1120822
American Medical Association (AMA)
Medina, Rigoberto. New Conditions for the Exponential Stability of Nonlinear Differential Equations. Abstract and Applied Analysis. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1120822
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1120822