.18 The steady-state solution of stable systems is due to simple poles in the j2 axis of the s-planecoming from the input. Suppose the transfer function of the system isY (s)H (s) =X (s)1(s + 1)² +4(a) Find the poles and zeros of H (s) and plot them in the s-plane. Find then the correspond-ing impulse response h(t). Determine if the impulse response of this system is absolutelyintegrable so that the system is BIBO stable.243236CHAPTER 3 THE LAPLACE TRANSFORM(b) Let the input x (t) = u(t) and the initial conditions be zero, find y(t) and from it determinethe steady-state solution.(c)Let the input x (t) = tu(t) and the initial conditions be zero, find y(t) and from it determinethe steady-state response. What is the difference between this case and the previous one?(d) To explain the behavior in the case above consider the following: Is the input x (t) =tu(t)bounded? That is, is there some finite value M such that |x(t)| < M for all times? So whatwould you expect the output to be, given that the system is stable?Answers: System is BIBO stable; yss (t) = 0.2.

*Keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts.…

18 The steady-state solution of stable systems is due to simple poles in the j2 axis of the s-plane coming from the input. Suppose the transfer function of the system is Y (s) H (s) = X (s) 1 (s + 1)² +4° (a) Find the poles and zeros of H (s) and plot them in the s-plane. Find then the correspond- ing impulse response h(t). Determine if the impulse response of this system is absolutely integrable so that the system is BIBO stable. 243

18 The steady-state solution of stable systems is due to simple poles in the j2 axis of the s-plane coming from the input. Suppose the transfer function of the system is Y (s) H (s) = X (s) 1 (s + 1)² +4° (a) Find the poles and zeros of H (s) and plot them in the s-plane. Find then the correspond- ing impulse response h(t). Determine if the impulse response of this system is absolutely integrable so that the system is BIBO stable. 243

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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