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Oscillations in lossless propagation models: a Liapunov–Krasovskii approach.
- Source :
-
IMA Journal of Mathematical Control & Information . Mar2002, Vol. 19 Issue 1/2, p157-172. 16p. - Publication Year :
- 2002
-
Abstract
- This paper focuses on Forced oscillations (periodic and almost periodic) in some dynamical models described by coupled differential and difference equations. The existence and stability result is based on a theorem on invariant manifolds on Banach spaces due to Kurzweil and Halanay. The state‐space (based on Liapunov–Krasovskii functionals combined with the S‐procedure) approach is considered. An illustrative example is presented and some conclusions are drawn concerning sharpness and ease in applications of the method. [ABSTRACT FROM PUBLISHER]
- Subjects :
- *OSCILLATIONS
*DIFFERENCE equations
*BANACH spaces
*FUNCTION spaces
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 02650754
- Volume :
- 19
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- IMA Journal of Mathematical Control & Information
- Publication Type :
- Academic Journal
- Accession number :
- 44551948
- Full Text :
- https://doi.org/10.1093/imamci/19.1_and_2.157