摘要
该文对含三个不稳定极点（有两个复极点和一个实极点）的饱和受限系统的可控区域描述问题进行了研究．利用极端控制方法给出了实、复极点实部相同情况下的可控区域描述，并引入了等价性的概念，给出了实、复极点实部不同情况下的可控区域描述．根据分离定理．利用笛卡尔积，解决了含三阶不稳定极点的一大类饱和受限系统的可控区域描述问题．
In this paper, the controllable region of the input saturation system which has two unsable complex eigenvalues and one unstable real eigenvalue was studied. First, the description of controllable regions of anti-stable three-order systems whose real part of complex eigenvalue equals to its real eigenvalue was proposed using extremal control. Then the concept of equivalent is introduced and the description of normal anti-stable three-order systems was proposed.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2001年第1期79-85,共7页
Acta Mathematica Scientia
关键词
饱和受限系统
反稳定系统
可控区域
可达区域
极端控制
不稳定极点
Systems with input saturation (constrained systems or saturating systems), Anti-stable systems, Controllable region, Reachable region, Extremal control.
