Lurie型鲁棒控制系统的绝对稳定性

Absolute stability for Lurie type robust control systems

在实数Ｒ上一切闭区间组成的集合和区间矩阵的集合中引进了代数运算，讨论了Ｌｕｒｉｅ型直接鲁棒控制系统ｘ＝Ｇ〔Ｂ，Ｃ〕ｘ＋Ｇ〔Ｒ，Ｓ〕ｆ（σ）；σ＝ｃＴｘ，ｆ（）∈Ｋ〔０，∞）和间接鲁棒控制系统ｘ＝Ｇ〔Ｂ，Ｃ〕ｘ＋Ｇ〔Ｒ，Ｓ〕ｆ（σ）；σ＝ｃＴｘ－ρｆ（σ），ｆ（）∈Ｋ〔０，∞）的绝对稳定性，得到了一些充分条件．

After algebraic operation on the set of closed interval and set of interval matrices,on the real number R have been introduced, absolute stability of Lurie type robust direct control systems x ·=G B,C x+G R,S f(σ); σ=c T x,f(·)∈K 0,∞) and indirect control systems x ·=G B,C x+G R,S f(σ); σ ·=c T x-ρf(σ),f(·)∈K 0,∞)were studied,some sufficient conditions were obtained also.