GEOMETRY OF V-FUNCTIONS AND THE LIAPUNOV STABILITY THEORY

被引：1
作者：
GALPERIN, EA
SKOWRONSKI, JM
机构：
[1] UNIV QUEENSLAND, DEPT MATH, ST LUCIA, QLD 4067, AUSTRALIA
[2] UNIV BRITISH COLUMBIA, VANCOUVER V6T 1W5, BC, CANADA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1987年 / 11卷 / 02期
关键词：
CONTROL SYSTEMS; OPTIMAL - Theory - SYSTEM STABILITY - Lyapunov Methods;
D O I：
10.1016/0362-546X(87)90097-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Geometric properties of V-functions are studied, and the application of such functions to nonlinear differential equations with control for a dynamical system is considered. A theorem is proved that provides a framework for quantitative design and investigation of motions. The results allow direct control applications. The application is made to a perturbation equation where classical Liapunov theorems follow as a special case, thereby the investigation of locally unstable but eta -stable systems is made possible.
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收藏
页码：183 / 197
页数：15
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