Example 1.18 The state space model of a system is[7][2-1-1X=00y=[1 o 1]x-1X+2u0231Solutiontheeigenvalues2=2,2=1,2,=-1Whenthe,V, =AV,yields2 =-l,the equation『o1characteristic vectorV,=of Acorresponding to
Example 1.18 The state space model of a system is[7][2-1-1X=0y=[1 o 1]x0-1X+2u02[31Solutiontheeigenvalues2=2,2,=l,2,=-1Then, the nonsingular matrix is constructedas101[1-1-10P=[vi V2 V,] =0p-1011一001011