PROBLEM 5: MODULATION SIGNAL PATHWAY Analyze the system shown using the S-system model: X = XX3X0.5X...
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PROBLEM 5: MODULATION SIGNAL PATHWAY Analyze the system shown using the S-system model: X₁ = X₂²X3X0.5X₂ X₂ = X1.5X₂ - 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 X₁(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 X₁(0) and X₂(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 X₁(0) and X2(0). (15pts) PROBLEM 5: MODULATION SIGNAL PATHWAY Analyze the system shown using the S-system model: X₁ = X₂²X3X0.5X₂ X₂ = X1.5X₂ - 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 X₁(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 X₁(0) and X₂(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 X₁(0) and X2(0). (15pts) PROBLEM 5: MODULATION SIGNAL PATHWAY Analyze the system shown using the S-system model: X₁ = X₂²X3X0.5X₂ X₂ = X1.5X₂ - 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 X₁(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 X₁(0) and X₂(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 X₁(0) and X2(0). (15pts) PROBLEM 5: MODULATION SIGNAL PATHWAY Analyze the system shown using the S-system model: X₁ = X₂²X3X0.5X₂ X₂ = X1.5X₂ - 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 X₁(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 X₁(0) and X₂(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 X₁(0) and X2(0). (15pts)
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