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.
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页码：139 / 152
页数：14
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