Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances

被引：0
|
作者：
A. V. Kuntsevich
V. M. Kuntsevich
机构：
[1] National Academy of Sciences,V.M. Glushkov Institute of Cybernetics
[2] National Academy of Sciences and National Space Agency,Institute of Space Research
来源：
Automation and Remote Control | 2012年 / 73卷
关键词：
Remote Control; Linear Discrete System; Bounded Disturbance; Invariant Ellipsoid; Vector Argument;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We use difference inclusions to describe the dynamics of a family of nonlinear discrete systems subject to bounded disturbances. For a family of linear discrete systems, we get an analytic solution of the problem of finding the invariant set, and for families of nonlinear systems, we propose an iterative process that finds their invariant set and converges with the speed of a geometric progression. We also provide illustrative examples.
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页码：83 / 96
页数：13
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