A RICCATI EQUATION APPROACH TO MAXIMIZING THE STABILITY RADIUS OF A LINEAR-SYSTEM BY STATE-FEEDBACK UNDER STRUCTURED STOCHASTIC LIPSCHITZIAN PERTURBATIONS

被引：12

作者：

BOUTHOURI, AE

PRITCHARD, AJ

机构：

[1] UNIV CHOUAIB DOUKKALI,FAC SCI,DEPT MATH,EL JADIDA,MOROCCO

[2] UNIV WARWICK,INST MATH,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND

来源：

SYSTEMS & CONTROL LETTERS | 1993年 / 21卷 / 06期

关键词：

ROBUSTNESS OPTIMIZATION; STOCHASTIC PERTURBATIONS; RICCATI EQUATION; STABILITY RADIUS;

D O I：

10.1016/0167-6911(93)90052-8

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The object of this paper is to maximize the stability radius of a linear state space system by state feedback under Lipschitzian structured stochastic perturbations. The supremal achievable stability radius is characterized via the resolution of a parametrized Riccati equation and a matrix inequality. The dependency on the parameters is investigated and the limiting behaviour is examined. An example illustrating the results is treated at the end of the paper.

引用

页码：475 / 484

页数：10

共 14 条

[1] STABILITY OF STOCHASTIC PARTIAL-DIFFERENTIAL EQUATION [J].