例5-3给定系统为(A、B、C)如下 1100 0110 00 1000 A B C 0010 000 0001 0 01 0 00 H a+ BHc 00 0011 000 00 000 可知(A+BHC、B)可控,(A+BHC、C)可观测 且A+BHC是循环矩阵,它的最小多项式为4次。例5-3 给定系统为（A、B、C）如下               = 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 0 A               = 0 1 1 0 0 0 0 0 B         = 0 0 0 1 1 0 0 0 C b 0 0 0 1 c 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 A BHC 0 0 0 1 H T = =             + =         = 可知（A+BHC、B）可控，（A+BHC、C）可观测， 且A+BHC是循环矩阵，它的最小多项式为4次