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Article Dans Une Revue IMA Journal of Mathematical Control and Information Année : 2002

Oscillations in lossless propagation models A Liapunov-Krasovskii approach

Résumé

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.

Dates et versions

hal-02295746 , version 1 (24-09-2019)

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V. Rǎsvan, Silviu-Iulian Niculescu. Oscillations in lossless propagation models A Liapunov-Krasovskii approach. IMA Journal of Mathematical Control and Information, 2002, 19 (1-2 SPEC.), pp.157-172. ⟨10.1093/imamci/19.1_and_2.157⟩. ⟨hal-02295746⟩
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