Routh-Hurwitz Conditions and Lyapunov Second Method for a Nonlinear System

被引：0
|
作者：
Umut, Omur [1 ]
机构：
[1] Abant Izzet Baysal Univ, TR-14280 Bolu, Turkey
来源：
CHAOTIC SYSTEMS: THEORY AND APPLICATIONS | 2010年
关键词：
Routh-Hurwitz conditions; Lyapunov method; Lyapunov function; nuclear spin generator; domain of stability; Cartwright's method; STABILITY ANALYSIS; LIAPUNOV;
D O I：
10.1142/9789814299725_0041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a Lyapunov function is generated to determine the domain of asymptotic stability of a system of three first order nonlinear ordinary differential equations describing the behaviour of a nuclear spin generator (NSG) The generated Lyapunov function, is a. simple quadratic form: whose coefficients am chosen so that the Routh-Hurwitz criteria are satisfied for the corresponding linear differential equations
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页码：362 / 368
页数：7
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