摘要
本文通过将高阶非线性自治微分方程转化为Lurie型控制系统的方法,借助于Popov的频率判据,得到了它们全局渐近稳定的判别准则,推广了文[1]的结果.
In this paper, by transforming several classes non-linear autonomous differential equations of higher order to control systems of Lurie form, and by Popov frequency criteria, a sufficient condition of the global asymptotic stability is obtained, Which improves the results in [1].
出处
《新疆大学学报(自然科学版)》
CAS
1996年第3期6-12,共7页
Journal of Xinjiang University(Natural Science Edition)
关键词
非线性
微分方程
全局稳定性
Popov频率判据
non-line. Autonomous differential of higher order control systems of Lurie form golbal stability Popov frequency criteria