s+15- The transfer function of causal LTI system is H(s) =(s+1)(s+3)Determine the response y(t) when the input x(t) = e-ltl, for the following regionof convergence : ) Re[s]> -3 ii) Refs]<-1 i) -1>Re[s]> -3

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Answered: s+1 5- The transfer function of causal…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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The differential equations below represent systems where x is the input and y is the output. Determine a) the transfer function of the given systems, b) whether the following systems are stable, or unstable, and c) the number of roots with positive real part
Transfer function ? (?) =96 (? + 5) (? + 12)(? − 1) (? + 8) (? + 6)Find the unit impulse response of a system.By showing the zeros and poles of the system on the coordinate system, you can determine the stability of the system.
When u (t): unit step function is applied to the input of the control system given the transfer function above, the output response of the system is given below for t = 3.8 s and t = infinity. Accordingly, cf =lim t->infinity c(t)=1 , c(t =3.8s) = 0.85 what is the settlement time of the system? calculate
(Signals and Systems) Determine whether the systems with these transfer functions are stable, marginally stable or unstable by determining the poles.
For a CT system, given the following set of poles and zeros. poles: sp1=-0.5, sp2=1, sp3=-0.7+j2. Zeros: s1=-2, s2=-0.5. (a) Draw the pole-zero diagram. (b) Does the system stable or not? Justify (c) Find the transfer function H(s) in a rational form.
Root Locus Question Utilizing root locus techniques (by hand) prove that for the transfer function K*G(s) where G(s) = 1/(s^2+s+10) there is no value for K that will allow for less than 16% overshoot. Sketch the region of allowance on the root locus which would give less than 16% overshoot as added proof to the statement 5
7.-Let h=[ 0, -1, -2, -3, -4, -3, -2, -1, 0 ] be the impulse response of an LTI systemObtain the vector of the output sequence corresponding to the following input sequence x=[1, 0, 0, 0, 0, 0, 0, 0, 0, -10]
The transfer function for a linear time-invariant circuit is H(s)=VoVg=4(s+3)s2+8s+41. If vg=40 cos 3t V, what is the steady-state expression for vo?
Evaluate the DTFS coefficients of x[n] = {… …. … , -1, 0, 1(origin), 0, -1, 0, 1, 0, … …. …}.
A second order discrete time system is described by the transfer functionG (Z) =Y (Z)/R (Z) =1/Z2+3/4Z+1/8Determine the response of the system to a unit sample sequence.
Let h=[ 0, -1, -2, -3, -4, -3, -2, -1, 0 ] be the impulse response of an LTI systemObtain the vector of the output sequence corresponding to the following input sequence x[0, 0, 0, 0, 0, 0, 0, 0, 0, -10]
(Recall that the step response s[n ] of a system is its output when the unit step u[n] is applied as input.)If the step response of an LTI system is s[n] = delta[n ] + 2delta[n – 2],then it’s impulse response h[n] at times n ∈{0, 1, 2, 3} must be: h[0] =?h[1] =?h[2] =?h[3] = ?

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s+1 5- The transfer function of causal LTI system is H(s) = (s+1)(s+3) Determine the response y(t) when the input x(t) = e-ltl, for the following region of convergence : ) Re[s]> -3 ii) Refs]<-1 i) -1>Re[s]> -3