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+//caption:obtain_time_response

+//example 12_57

+//page 586

+s=%s;

+syms t

+A=[0 1;-2 -3]

+B=[1 0]'

+x0=[0 0]'

+u=1/(s+1)

+[r c]=size(A);//size of matrix A

+p=s*eye(r,c)-A;//s*I-A where I is identity matrix

+q=det(p)//determinant of sI-A

+r=inv(p)//inverse of sI-A

+m=r*B*(1/(s+1));

+//for calculating zero state response

+x=[0;0]

+x(1,1)=ilaplace(m(1,1),s,t);

+x(2,1)=ilaplace(m(2,1),s,t);

+disp(x,"time response of the system,x(t)=");