自动化与信息科学期刊
每年出版 12 期
ISSN 打印: 1064-2315
ISSN 在线: 2163-9337
SJR:
0.173
SNIP:
0.588
CiteScore™::
2
Indexed in
Minimal Invariant Sets of Discrete Dynamic Systems with a Stable Linear Part
卷 33,
册 5-8, 2001,
9 pages
DOI: 10.1615/JAutomatInfScien.v33.i5-8.20
摘要
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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