syms t tau;
A = [0 2; -2 -5];
B = [0; 1];
C = [2 1];
x0 = [1; 2];

Phi_t = expm(A*t);

x_h = Phi_t * x0;

u_tau = 1; % Unit step function
x_p = int(Phi_t * B, tau, 0, t);

x_t = x_h + x_p;

y_t = C * x_t;

disp(‘State-transition matrix Phi(t):’);
disp(Phi_t);
fplot(Phi_t(1,1))

disp(‘Homogeneous solution x_h(t):’);
disp(x_h);
fplot(x_h)

disp(‘Particular solution x_p(t):’);
disp(x_p);

disp(‘Full state vector x(t):’);
disp(x_t);

disp(‘Output y(t):’);
disp(y_t);syms t tau;
A = [0 2; -2 -5];
B = [0; 1];
C = [2 1];
x0 = [1; 2];

Phi_t = expm(A*t);

x_h = Phi_t * x0;

u_tau = 1; % Unit step function
x_p = int(Phi_t * B, tau, 0, t);

x_t = x_h + x_p;

y_t = C * x_t;

disp(‘State-transition matrix Phi(t):’);
disp(Phi_t);
fplot(Phi_t(1,1))

disp(‘Homogeneous solution x_h(t):’);
disp(x_h);
fplot(x_h)

disp(‘Particular solution x_p(t):’);
disp(x_p);

disp(‘Full state vector x(t):’);
disp(x_t);

disp(‘Output y(t):’);
disp(y_t); syms t tau;
A = [0 2; -2 -5];
B = [0; 1];
C = [2 1];
x0 = [1; 2];

Phi_t = expm(A*t);

x_h = Phi_t * x0;

u_tau = 1; % Unit step function
x_p = int(Phi_t * B, tau, 0, t);

x_t = x_h + x_p;

y_t = C * x_t;

disp(‘State-transition matrix Phi(t):’);
disp(Phi_t);
fplot(Phi_t(1,1))

disp(‘Homogeneous solution x_h(t):’);
disp(x_h);
fplot(x_h)

disp(‘Particular solution x_p(t):’);
disp(x_p);

disp(‘Full state vector x(t):’);
disp(x_t);

disp(‘Output y(t):’);
disp(y_t); first order system MATLAB Answers — New Questions

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