On Polyhedral Estimates for Reachable Sets of Discrete-Time Systems with Bilinear Uncertainty

被引：13
作者：
Kostousova, E. K. [1 ]
机构：
[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg, Russia
来源：
AUTOMATION AND REMOTE CONTROL | 2011年 / 72卷 / 09期
基金：
俄罗斯基础研究基金会;
关键词：
ACCESSIBLE STATES; INTERVAL; PARAMETER;
D O I：
10.1134/S0005117911090062
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 describe techniques for constructing external and internal polyhedral (parallelepiped-valued) estimates for reachability sets of discrete-time systems with bilinear uncertainty, i.e., systems with originally linear but incompletely specified dynamics, when system coefficients exhibit uncertainty of the interval type. Our primary attention is focused on internal estimates. The evolution of reachability set estimates is given by recursive relations. We give numerical modeling results.
引用
收藏
页码：1841 / 1851
页数：11
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