(A simple feedback system) Consider the two systems: H{} and G{} whose input- output relationships are given as follows. y₁(t) = H{x₁(t)} = t²x₁(t), y2(t) = G{x₂(t)} = ax₂(t) (Part a) Determine if the system H{} is BIBO stable. x(t) + z(t) H{} G{.} y(t) Now consider the feedback system as given in the layout below. (Part b) Derive the input-output relationship of the feedback system. You are expected to provide an expression relating y(t) to x(t). Hint: It helps to define the output of the system G{} as z(t) (see Figure) and trying to relate y(t) to x(t) and z(t). Now try to remove z(t) based on it being the output of G{.}. (Part c) For a < 0, is the system stable ?

(A simple feedback system) Consider the two systems: H{} and G{} whose input- output relationships are given as follows. y₁(t) = H{x₁(t)} = t²x₁(t), y2(t) = G{x₂(t)} = ax₂(t) (Part a) Determine if the system H{} is BIBO stable. x(t) + z(t) H{} G{.} y(t) Now consider the feedback system as given in the layout below. (Part b) Derive the input-output relationship of the feedback system. You are expected to provide an expression relating y(t) to x(t). Hint: It helps to define the output of the system G{} as z(t) (see Figure) and trying to relate y(t) to x(t) and z(t). Now try to remove z(t) based on it being the output of G{.}. (Part c) For a < 0, is the system stable ?

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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