FEEDBACK EQUIVALENCE OF CONTROL-SYSTEMS

被引：18

作者：

GARDNER, RB

SHADWICK, WF

机构：

[1] UNIV N CAROLINA,DEPT MATH,CHAPEL HILL,NC 27514

[2] UNIV WATERLOO,DEPT PURE MATH,WATERLOO N2L 3G1,ONTARIO,CANADA

来源：

SYSTEMS & CONTROL LETTERS | 1987年 / 8卷 / 05期

关键词：

MATHEMATICAL TECHNIQUES - Variational Techniques;

D O I：

10.1016/0167-6911(87)90088-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

E. Cartan's method of equivalence is applied to the problem of equivalence of 2-state systems with scalar control under feedback. The differential invariants produced by the method completely characterize equivalence classes. The phenomenon of linearizability is associated with the presence of infinite Lie pseudogroups. The generic non-linearizable case has a geometrically defined variational problem which yields a time optimal closed loop control.

引用

页码：463 / 465

页数：3

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