On Some Sufficiency-Type Global Stability Results for Time-Varying Dynamic Systems with State-Dependent Parameterizations
Author
Source
International Journal of Differential Equations
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This paper formulates sufficiency-type global stability and asymptotic stability results for, in general, nonlinear time-varying dynamic systems with state-trajectory solution-dependent parameterizations.
The stability proofs are based on obtaining sufficiency-type conditions which guarantee that either the norms of the solution trajectory or alternative interval-type integrals of the matrix of dynamics of the higher-order than linear terms do not grow faster than their available supremum on the preceding time intervals.
Some extensions are also given based on the use of a truncated Taylor series expansion of chosen truncation order with multiargument integral remainder for the dynamics of the differential system.
American Psychological Association (APA)
de La Sen, Manuel. 2019. On Some Sufficiency-Type Global Stability Results for Time-Varying Dynamic Systems with State-Dependent Parameterizations. International Journal of Differential Equations،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1159180
Modern Language Association (MLA)
de La Sen, Manuel. On Some Sufficiency-Type Global Stability Results for Time-Varying Dynamic Systems with State-Dependent Parameterizations. International Journal of Differential Equations No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1159180
American Medical Association (AMA)
de La Sen, Manuel. On Some Sufficiency-Type Global Stability Results for Time-Varying Dynamic Systems with State-Dependent Parameterizations. International Journal of Differential Equations. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1159180
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1159180