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

被引：1
|
作者：
Kuntsevich, A. V. [1 ]
Kuntsevich, V. M. [2 ,3 ]
机构：
[1] Natl Acad Sci, VM Glushkov Inst Cybernet, Kiev, Ukraine
[2] Natl Acad Sci, Inst Space Res, Kiev, Ukraine
[3] Natl Space Agcy, Kiev, Ukraine
来源：
AUTOMATION AND REMOTE CONTROL | 2012年 / 73卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Remote Control; Linear Discrete System; Bounded Disturbance; Invariant Ellipsoid; Vector Argument;
D O I：
10.1134/S0005117912010067
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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：14
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