3.8 Consider a LTI system with transfer function Y (s) s2 +4 H(s) X (s) s(s + 1)2 + 1) (a) Determine if the system is BIBO stable or not. (b) Let the input be x(t) = cos(2t)u(t); find the response y(t) and the corresponding steady- state response. (c) Let the input be x(t) = sin(2t)u(t); find the response y(t) and the corresponding steady- state response. (d) Let the input be x(t) =u(t); find the response y(t) and the corresponding steady-state response. (e) Explain why the results above seem to contradict the result about stability. Answers: For x (t) = cos(2t)u(t), lim,→∞ y(t) = 0; if x(t) = u(t) there is no steady state.

3.8 Consider a LTI system with transfer function Y (s) s2 +4 H(s) X (s) s(s + 1)2 + 1) (a) Determine if the system is BIBO stable or not. (b) Let the input be x(t) = cos(2t)u(t); find the response y(t) and the corresponding steady- state response. (c) Let the input be x(t) = sin(2t)u(t); find the response y(t) and the corresponding steady- state response. (d) Let the input be x(t) =u(t); find the response y(t) and the corresponding steady-state response. (e) Explain why the results above seem to contradict the result about stability. Answers: For x (t) = cos(2t)u(t), lim,→∞ y(t) = 0; if x(t) = u(t) there is no steady state.

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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