Title :
On forced oscillations in lossless propagation models
Author :
Rasvan, Vladimir ; Niculescu, Silviu-Iulian
Author_Institution :
Dept. of Autom. Control, Univ. of Craiova, Craiova, Romania
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 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.
Keywords :
Banach spaces; differential equations; stability; state-space methods; coupled differential equations; difference equations; dynamical models; forced oscillations; invariant manifolds Banach spaces; lossless propagation models; stability; state-space approach; Circuit stability; Differential equations; Equations; Mathematical model; Oscillators; Propagation losses; Stability analysis; Krasovskii functionals; lossless propagation; oscillations; positive kernels;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
