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How to compute the following
by Karapet Hayrapetyan
X(t)=P(t)*X(0)+integral(0,t) (P(t-tau)*B*U(tau)d(tau)) where X(0)=(0 0); B=(1 0); U(t)=1, t(>=0 and <=1) U(t)= -1, t(>=1 and <=2) t is>= 0 and <=2 P(t) is the following matrix P(1,1) =e^t P(1,2)= 0 P(2,1)=(-e^t+e^(3t)) P(2,2)=e^(3t) the answer must be X(t)=( x1(t) x2(t)) x1(t)=(e^(-2) -2e^(-1) +1)e^t x2(t)=(e^(-2)-2e^(-1)+1)(-e^t+e^(3t))+ (1/3e^(-6)-2/3e^(-3)-e^(-2) +2e^(-1)-2/3)e^(3t)