//function// A=[0 1;-6 -5] B=[0;1] x=[1;0] disp(x,"x(t)=') s=poly(0,'s'); [Row Col]=size(A) //Size of a matrix A m=s*eye(Row,Col)-A //sI-A n=det(m) //To Find The Determinant of si-A p=inv(m) ; // To Find The Inverse Of sI-A syms t s m; disp(p,"phi(s)=") //Resolvent Matrix for i=1:Row for j=1:Col //Inverse Laplace of each element of Matrix(phi(s)) q(i,j)=ilaplace(p(i,j),s,t); end; end; disp(q,"phi(t)=") //State Transition Matrix t=(t-m); q=eval(q) //At t=t-m ,evaluating q i.e phi(t-m) //Integrate q w.r.t m(Indefinite Integration) r=integ(q*B,m) m=0 //Upper limit is t g=eval(r) //Putting the value of upper limit in q m=t //Lower Limit is 0 h=eval(r) //Putting the value of lower limit in q y=(h-g); disp(y,"y=") printf("x(t)= phi(t)*x(0) + integ(phi(t-m)*B) w.r.t m from 0 t0 t \n") //x(t)=phi(t)*x(0)+integ(phi(t-m)*B) w.r.t m from 0 t0 t y1=(q*x)+y; disp(y1,"x(t)=")