摘要
本文首先获得了超越函数,零点全分布在左半复平面的判别准则,然后将其应用于时滞直接控制系统获得其解绝对稳定的充分条件,特别当n=1时。
In this paper, the criterion for all zero point of transcendental function f_n(λ, e^(-λx))det(a_(ij)+b_(ij)e^(-λx)-S_(ij)λ)_(nxn) distributing in the left semi-complexplane is obtained, and, by applying it, the sufficient condition is obtained for the absolute stability of direct control systems with delay—time(dx)/(dt)=Ax(t)+Bx(t-x)+bf(σ), σ=c^Tx(t). When n=1 the necessary and sufficient condition for absolute stability of the system is a_(11)<0; a_(11)+|b_(11)|≤0; c_1b_1≤0.
出处
《湖南教育学院学报》
1995年第5期30-35,共6页
Journal of Hunan Educational Institute
关键词
超越函数
直接控制系统
零点全分布
左半复平面
transcendental function
delay-time
direct control system
absolute stability
