摘要
能否作出合适的Lyapunov函数是研究非线性时滞系统稳定性的关键,通过类比的方法构造Lyapunov函数.研究一类四阶时滞微分方程,通过构造方程的零解渐近稳定的充分性条件,结合零解是一致稳定的充分条件,得到方程的零解渐近稳定的充分性准则.
By analogy to Lyapunov function,whether or not an appropriate Lyapunov function can be constructed is the key to the study of the stability of nonlinear time-delay system.A class of fourth-order differential equation is studied.By constructing sufficient conditions of the asymptotic stability of zero solution of equation,the adequate criteria of the asymptotic stability of zero solution of equation is obtained.
出处
《江苏大学学报(自然科学版)》
EI
CAS
北大核心
2010年第5期616-620,共5页
Journal of Jiangsu University:Natural Science Edition
基金
国家自然科学基金资助项目(70871056)