ITERATIONS OF CONTINUOUS MAPPINGS ON METRIC SPACES - ASYMPTOTIC STABILITY AND LYAPUNOV FUNCTIONS

被引：5

作者：

GREGORIUS, HR

ZIEHE, M

机构：

[1] Lehrstuhl für Forstgenetik und Forstpflanzenzüchbung der Universität Göttin-gen, Ulm, Büsgenweg 2

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 1979年 / 10卷 / 08期

关键词：

D O I：

10.1080/00207727908941626

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 stability of difference equations, which represent discrete-time motions, is studied on general metric spaces. An analogous theorem to the equivalence between the asymptotic stability of invariant sets and the existence of Lyapunov functions for continuous-time motions is proved. One consequence of the results is the reduction of the asymptotic stability to an invariance condition. © 1979 Taylor & Francis Group, LLC.

引用

页码：855 / 862

页数：8

共 14 条

[1]

[Anonymous], 1977, THEORIES POPULATIONS

[2]

Bhatia N.P., 1970, STABILITY THEORY DYN

[3] DOMAINS OF STABILITY AND RESILIENCE FOR BIOLOGICAL POPULATIONS OBEYING DIFFERENCE EQUATIONS [J].