A general stability criterion of the oscillations in nonlinear systems

1971 ◽  
Vol 59 (1) ◽  
pp. 78-79 ◽  
Author(s):  
A.T. Murgan
Keyword(s):  
Nonlinear Systems ◽  
Stability Criterion ◽  
General Stability

Fuzzy stability criterion of a class of nonlinear systems

1993 ◽  
Vol 71 (1-2) ◽  
pp. 3-26 ◽  
Author(s):  
Kazuo Tanaka ◽  
Manabu Sano
Keyword(s):  
Nonlinear Systems ◽  
Stability Criterion

A Comprehensive Stability Criterion for Forced Vibrations in Nonlinear Systems

1953 ◽  
Vol 20 (1) ◽  
pp. 9-12
Author(s):  
K. Klotter ◽  
E. Pinney
Keyword(s):  
Differential Equation ◽  
Nonlinear Systems ◽  
Stability Criterion ◽  
Practical Importance ◽  
Nonlinear Function ◽  
Forced Vibrations ◽  
Maximum Value ◽  
The Stability

Abstract This paper deals with the forced vibrations described by the differential equation a q .. + c q + c Φ ( q , q . ) = P cos Ω t wherein Φ denotes a nonlinear function of q and/or q̇. It presents a criterion for determining their stability. It is shown that under very weak restrictions, which equivalently means, for a large variety of cases (including all of practical importance) the stability depends on the sign of ∂q*/∂P (q* denoting the maximum value of q(t) within a period). The motion is stable if this derivative is positive; it is unstable if it is negative.

A general stability criterion for droplets on structured substrates

2004 ◽  
Vol 37 (48) ◽  
pp. 11547-11573 ◽  
Author(s):  
M Brinkmann ◽  
J Kierfeld ◽  
R Lipowsky
Keyword(s):  
Stability Criterion ◽  
General Stability

scholarly journals A Note on Practical Stability of Nonlinear Vibration Systems with Impulsive Effects

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Qishui Zhong ◽  
Hongcai Li ◽  
Hui Liu ◽  
Juebang Yu
Keyword(s):  
Nonlinear System ◽  
Nonlinear Systems ◽  
Nonlinear Vibration ◽  
Stability Criterion ◽  
Fuzzy Model ◽  
Vibration Characteristics ◽  
Impulsive Effects ◽  
Practical Stability ◽  
Impulsive Systems ◽  
System A

This paper addresses the issue of vibration characteristics of nonlinear systems with impulsive effects. By utilizing a T-S fuzzy model to represent a nonlinear system, a general strict practical stability criterion is derived for nonlinear impulsive systems.

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