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Journal of Automation and Information Sciences

Publication de 12  numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Minimal Invariant Sets of Discrete Dynamic Systems with a Stable Linear Part

Volume 33, Numéro 5-8, 2001, 9 pages
DOI: 10.1615/JAutomatInfScien.v33.i5-8.20
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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.

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