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Lyapunov functions and a control problem

Published online by Cambridge University Press:  24 October 2008

A. A. Kayande  and
D. B. Muley
A. A. Kayande
Affiliation:
Marathwada University, India
D. B. Muley
Affiliation:
Marathwada University, India
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Extract

1. One of the most important techniques in the study of non-linear differential systems is the Lyapunov's second method and its extensions. One of the extensions of the method depends upon the fact that the function satisfying a differential inequality can be majorized by the maximal solution of the corresponding differential equation. This method was used extensively by V. Lakshmikantham and others for obtaining results, in a unified way, on stability and boundedness of systems of differential equations.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 2 , April 1967 , pp. 435 - 438
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

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