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General dynamical systems and conditional stability

Published online by Cambridge University Press:  24 October 2008

A. A. Kayande  and
V. Lakshmikantham
A. A. Kayande
Affiliation:
Marathwada University, India and University of Alberta, Canada
V. Lakshmikantham
Affiliation:
Marathwada University, India and University of Alberta, Canada
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Extract

The notion of a general dynamical system was introduced by Barbashin(1). In this paper we consider a general dynamical system in a metric space following Zubov(6) where Lyapunov's method has been extended to investigate the stability properties using a single Lyapunov functional.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 199 - 207
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

(1)Barbasin, E. A.On the Theory of generalised dynamical systems. Učen. Zap. M.G.U no. 135, pp. 110–133 (1949), (Russian).Google Scholar
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