Ellipsoidal bounds on reachable sets of dynamical systems with matrices subjected to uncertain perturbations

被引：36

作者：

Chernousko, FL ^{[1
]}

Rokityanskii, DY ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Problems Mech, Moscow, Russia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2000年 / 104卷 / 01期

关键词：

dynamical systems; reachable sets; uncertain matrix parameters; state estimation;

D O I：

10.1023/A:1004687620019

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Linear dynamical systems described by finite-difference or ordinary differential equations are considered. The matrix of the system is uncertain or subject to disturbances, and only the bounds on admissible perturbations of the matrix are known. Outer ellipsoidal estimates of reachable sets of the system are obtained and equations describing the evolution of the approximating ellipsoids are derived. An example is presented.

引用

页码：1 / 19

页数：19