Please write a matlab code to solve this problem and get the

Please write a matlab code to solve this problem and get the right solutions

ONLY matlab codes to get solutions needed.

Problem 4: Consider the L.TI systems deseribed by the foll Problem 4: Consider the LTI systems described by the following differential equations: d\'y(t) dy(t) dx(t) dt (a) Find and plot the unit impulse response for each system. (b) Find and plot the unit step response for each system. (c) Determine system stability and the system modes

Solution

a = C_A T C_A -0.0285 -0.0014 T -0.0371 -0.1476 b = T_c C_Ai C_A -0.085 0.0238 T 0.0802 0.4462 c = C_A T T 0 1 C_A 1 0 d = T_c C_Ai T 0 0 C_A 0 0 Input groups: Name Channels MV 1 UD 2 Output groups: Name Channels MO 1 UO 2 Continuous-time model % Creating our sine-signal clear t = -50:50; Fs = 25; x=sin(2*pi*(1/Fs)*t); % Creating our impulse responses. They\'re unit steps, going from all-zeroes to all-ones. h1 = [zeros(1,50) ones(1,50)]; h2 = [zeros(1,40) ones(1,60)]; % Calculating the convolusion result of the square signals above with our original sine-signal. convPlot1 = conv(x,h1); convPlot2 = conv(x,h2); % Plot and check our result. plot(convPlot1) plot(convPlot2)