5. A continuous-time system is given by the input/output differential equationd²y(t)dy(t)dx(t)+2-+ 3y(t) =+ x(t − 2)-dt²dtdt(a) Compute the transfer function H(s) of the system.(b) Compute the impulse response h(t).(c) Compute the step response.

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Answered: 5. A continuous-time system is given by…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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The impulse response of a continuous-time LTI system is given byh(t) = u(t) −u(t − 5) where u(t) is the unit step function.a) Find and plot the output y(t) of the system to the input signal x(t) = u(t) using the convolution integral.b) Determine stability and causality of the system.
The transfer function of a system is given in the image. (j is the imaginary part) Determine: (a) The impulse response. (b) Whether the system is stable. (c) The differential equation that represents the system.
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A system is described as: w (n + 1) = 0.5 w(n) — x(n) y(n) = w (n) - x(n) Where x(n) and y(n) are input and output signals, respectively. 1. Draw a block diagram or signal flow graph representation for this system by using Direct form II 2. Find the system function H(z) and the impulse response h(n) of this system. 3. Is this system causal or not? Why? 4. Is this system stable or not? why? 5. If the input impulse Dirac 8 find the difference equation.
A. Find the differential equation of the circuit B. Obtain the transfer function H(s) of the circuit C. Obtain the impulse response h(t) of the system
Solution please. Should correct Consider a first order system with a transfer function of G(s) = K / (s + a), where K = 5 and a = 10. If the system is subjected to a ramp input of 2t, what is the steady-state error of the system? Show your calculations and assumptions.
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5. A continuous-time system is given by the input/output differential equation d²y(t) dy(t) dx(t) +2- + 3y(t) = + x(t − 2) - dt² dt dt (a) Compute the transfer function H(s) of the system. (b) Compute the impulse response h(t). (c) Compute the step response.