一类三阶非线性系统的零解稳定性  

Stability of the Zero-Solution of a Class of Third-Order Nonlinear System

作　　者：于霞[1] 

机构地区：[1]南通大学理学院,江苏南通226007

出　　处：《南通职业大学学报》2010年第2期70-71,共2页Journal of Nantong Vocational University

摘　　要：利用类比法构造了一类三阶非线性系统的李雅普诺夫函数,得出了该系统零解稳定的充分条件,解决了相当广泛的一类三阶非线性系统的零解稳定性问题。This paper studies the global asymptotic stability of the nonlinear third order differential equation.By applying the Similitude-comparison method,a sufficient condition of stability in the large of equilibrium position of equation is obtained,and the stability of the zero-solution of the nonlinear third order differential equation is solved.

关 键 词：三阶非线性系统 稳定性 李雅普诺夫函数 

分 类 号：O175.13[理学—数学]