design a sliding surface for linear time invariant systems MIMO

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˙x(t) = Ax(t)+Bu(t) ˙x1(t) = A11 x1(t)+A12 x2(t) x2(t) = −C1 x1(t) http://www.lib1.org/_ads/FCCC0A87E8EA46ACAB82C421746F8883
from page 1-17
u = −Kx δx = Ax+Bu. g =Cx= 0, δg =Cδx=C(Ax+Bu)= 0 ueq = −(CB)^−1*CAx = −Kx

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