please with clear explanations 1. Consider the first order system y = 0.50 +0.7.-1. Find the...
1. Use the MATLAB command freqz to calculate the DTFT of System 1, to find its frequency response 0.25r[n] + 0.25r|n -2]. H(). For this exercise, System 1 has a different difference equation yn] Find H1 (w) for- aK π, with frequency steps of Δα-π/100. 2. Plot both the magnitude |H1(2)| and the phase LH1(w) vs w, for-π < ώ < π. Use abs and angle commands to obtain magnitude and phase. Label and title both plots and include in...
Please have a clear hand writing :) Question Question 12 (3 marks) Special Attempt 1 A system of two first order differential equations can be written as A second order explicit Runge-Kutta scheme for the system of two first order equations is n+l Vn +12 Consider the following second order differential equation 4 d9-' with y(1)-4 and y'(1)-1 a.n Use the Runge-kutta scheme to find an approximate solution of the second order differential equation, at x = 1.4, if the...
Consider the second-order system Y(s) R(s 2s +1 USE MATLAB ONLY PLEASE Obtain the Unit-Impulse response curves for S-0.1,0.3,0.5, 0.7, 1.0 and 4.0. All graphs should be displayed on single graph property label. Consider the second-order system Y(s) ko Assuming that ωη- 2 and K-2. Obtain the Unit-Impulse response curves for,-0.1, 0.3, 0.5, 0.7, 1.0 and 4.0. All graphs should be displayed on single graph property label. Describe for each system the Transient and steady state response. Remember the Natural...
Please find y(1.4) Question Question 12 (3 marks) Special Attempt 1 A system of two first order differential equations can be written as A second order explicit Runge-Kutta scheme for the system of two first order equations is k1hn,un,vn), un+1 Consider the following second order differential equation d-y + 2 y-9y with y(1) and y'(1) 4 1. , Use the Runge-kutta scheme to find an approximate solution of the second order differential equation, at x-1.4, if the step size h...
hope you answer fast. please clear writing. thank you. Question 2 (25 Points) Consider a system represented by the following differential equation: 3 de o + 13 "%) + 4y(e) = 5 y) +9«ce) a) Determine the system's frequency response, H(jw) b) Determine the system's unit impulse response, h(t) c) Define the difference equation describing the system whose frequency response is Hlem"= (1 - že-jo)(1-Le-jw) (1 – e-fu)
Consider the following magnitude and phase plot of a minimum phase system. Please answer the following and explain. Consider the following magnitude and phase plot of a minimum phase system. Is this system stable or unstable? Explain your answer. Bode Diagram: Minimum-Phase Systenm 100 Gain Crossover 40 -60 80 100 90 135 -180 225 -270 -360 Phase Crossover Op Og Frequency (rad/sec) Consider the following magnitude and phase plot of a minimum phase system. Is this system stable or unstable?...
5. Consider the following first order system: (a) Find the equilibrium point (s). (b) Obtain linear functions that approximate the system for each equilibrium point. (c) Use Matlab to plot the original function(+22 -2) and the linear approx- imations all on the same plot. For the x axis limits on the plot use -2.5 to 2.5
For the following system of first order difference equations xt+1=-xt-2yt +24 yt+1= -2xt+2yt+9 1) Present the system in matrix form. (2) Find the equilibrium vector. (3) Find the eigenvalues and eigenvectors for this system. (4) Find the general solution. (5) Plot the phase diagram.
Consider the non-linear system y-y(1-x-y). (a) Find equations for all of the x- and y-nullclines. (b) Find the coordinates of each equilibrium point of the system. (c) Sketch the nullclines in the phase plane. Clearly mark the equilibrium points. Also indicate the direction of flow on the nullclines. Consider the non-linear system y-y(1-x-y). (a) Find equations for all of the x- and y-nullclines. (b) Find the coordinates of each equilibrium point of the system. (c) Sketch the nullclines in the...
Please provide solution with detailed steps and explanations, thanks 6. Consider the system * = -x(x2 + y2 + x - 2) - Y y = -y(x2 + y2 +1 -2) +r. Prove that this system has a periodic orbit. Hint: Convert to polar form.