PROBLEM 5: MODULATION SIGNAL PATHWAY Analyze the system shown using the S-system model: X = XX3X0.5X X = X1.5X - X2.5 X3 The system contains the independent variable X3, which is constant. Create a MATLAB script that simulates this S-system model. Begin your analysis by simulating the system with X(0) = X2(0) = X3 = 1. Compute all steady states of this system (hint: remember, we've found steady states by setting the derivations = 0). Vary X(0) and X(0) up and down and study the system responses. Finally, vary the constant values of X3 up and down and study for different initial values X(0) and X2(0). (15pts) PROBLEM 5: MODULATION SIGNAL PATHWAY Analyze the system shown using the S-system model: X = XX3X0.5X X = X1.5X - X2.5 X3 The system contains the independent variable X3, which is constant. Create a MATLAB script that simulates this S-system model. Begin your analysis by simulating the system with X(0) = X2(0) = X3 = 1. Compute all steady states of this system (hint: remember, we've found steady states by setting the derivations = 0). Vary X(0) and X(0) up and down and study the system responses. Finally, vary the constant values of X3 up and down and study for different initial values X(0) and X2(0). (15pts)