GLOBAL ANALYTICITY OF A GEOMETRIC DECOMPOSITION FOR LINEAR SINGULARLY PERTURBED SYSTEMS

被引：10

作者：

COBB, JD

机构：

[1] Univ of Wisconsin, Madison, WI, USA, Univ of Wisconsin, Madison, WI, USA

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 1986年 / 5卷 / 01期

关键词：

MATHEMATICAL TECHNIQUES - State Space Methods;

D O I：

10.1007/BF01600192

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A geometric decomposition is developed for linear, time-invariant singularly perturbed systems of a general form. The decomposition is shown to be determined by a mapping d between two real analytic manifolds, the range of d being a manifold of canonical forms. Our main result establishes analyticity of d over its entire domain.

引用

页码：139 / 152

页数：14

共 14 条

[1]

Akhiezer N. I., 1961, THEORY LINEAR OPERAT, VI

[2]

Brickell F, 1970, DIFFERENTIABLE MANIF

[3] SINGULAR PERTURBATION OF AUTONOMOUS LINEAR-SYSTEMS [J].