A Method for the Determination of the Domain of Stability of Second-Order Nonlinear Autonomous Systems-Reference-Cited by-同舟云学术

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A Method for the Determination of the Domain of Stability of Second-Order Nonlinear Autonomous Systems

Published:1964-06-01 Issue:2 Volume:31 Page:315-320
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Infante E. F.¹,Clark L. G.¹

Affiliation:

1. The University of Texas, Austin, Tex.

Abstract

A method for the determination of the domain of asymptotic stability of second-order nonlinear systems is presented. The essence of the method is the construction of Liapunov-like functions. Several simple but important examples illustrate the application of the method.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/31/2/315/5445948/315_1.pdf

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. New method to examine the stability of equilibrium points for a class of nonlinear dynamical systems;Nonlinear Dynamics;2014-11-21

2. References;Nonlinear Systems Stability Analysis;2013-01-10

3. Generation of Liapunov Functions Using Auxiliary Invariant Systems;Journal of the Franklin Institute;1971-11

4. Liapunov functions for autonomous systems of second order;Journal of Mathematical Analysis and Applications;1968-09

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