Variational Lyapunov method and stability theory-Reference-Cited by-同舟云学术

Variational Lyapunov method and stability theory

Published:1998 Issue:6 Volume:3 Page:555-571
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Lakshmikantham V.¹,Liu X.¹²,Leela S.³

Affiliation:

1. Florida Institute of Technology, Applied Mathematics Program, Melbourne 32901, FL, USA

2. University of Waterloo, Department of Applied Mathematics, Waterloo N2L 3G1, Ontario, Canada

3. SUNY at Geneseo, Department of Mathematics, Geneseo 14454, NY, USA

Abstract

By unifying the method of variation of parameters and Lyapunov's second method, we develop a fruitful technique which we call variational Lyapunov method. We then consider the stability theory in this new framework showing the advantage of this unification.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/1998/959563.pdf

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