Publication de 12 numéros par an
ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337
Indexed in
Minimal Invariant Sets of Discrete Dynamic Systems with a Stable Linear Part
RÉSUMÉ
The paper concerns analysis of asymptotic properties of the two classes of discrete systems with a stable linear part: i) non-autonomous linear systems under bounded set-estimated disturbances and ii) autonomous nonlinear systems with bounded nonlinear part, particularly, relay systems. For these two classes, the problem of calculating their invariant sets, the dissipativity problem, has been solved. For relay systems, all regular trajectories, which are inside their invariant sets, have been proven to approach the stable limit cycles. It has been proven also that a minimal invariant set may contain a number of stationary sets, stable stationary points and stable limit cycles in particular.