摘要
依据微分方程稳定性理论讨论一类非线性系统dx/dt=h(y)-F(x),dy/dt=-g(x)零解的全局稳定性,得出了这类方程无环的3个充要条件.在无环的前提下,加上适当的条件,得到零解全局渐近稳定的3个定理.
This thesis is to discuss a class of nonlinear system dx/dt=h(y)-F(x),dy/dt=-g(x) by using differential equation stability theory.Three necessary and sufficient conditions without cycles are provided,and coupled with some other appropriate conditions,three theories of global asymptotic stability of zero solution can be obtained.
出处
《山东理工大学学报(自然科学版)》
CAS
2011年第4期64-67,共4页
Journal of Shandong University of Technology:Natural Science Edition
关键词
微分方程
极限环
渐近稳定
differential equation
limit cycle
asymptotic stability