On forced oscillations in lossless propagation models

Vladimir Rasvan (1) , Silviu-Iulian Niculescu (2)

1 University of Craiova
2 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]

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 Banach spaces due to Kurzweil and Halanay. The state-space (based on Liapunov-Krasovskii functionals combined with the 5-procedure) approach is considered. An illustrative example is presented and some conclusions are drawn concerning sharpness and easiness in applications of the method. © 2001 EUCA.

Mots clés: positive kernels; Krasovskii functionals; lossless propagation; oscillations

Domaines: Automatique / Robotique

Vladimir Rasvan, Silviu-Iulian Niculescu. On forced oscillations in lossless propagation models. 6th European Control Conference, ECC 2001, G Freiling, Sep 2001, Porto, Portugal. pp.2877-2882. ⟨hal-02295732⟩