1. Are the systems whose input-output relationship is given as below linear? Is it memoryless? Is it causal? Does it change over time? Find transfer function and impulse responses if available, explain why not. (u(t) indicates the input of the system, y(t) the output. 6(t) is a unit impulse, 1(t) is a unit step function.) b. y(t) = cos(3t) u(t)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.22P
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If I have to ask the question piece by piece, write down how I should ask it.
Subject : "Lineer Algebra"(ElectricalEngineering)
Books about the question:
"Chi Tsong Chen, Linear System Theory and Design"
“John S. Bay, Fundamentals of Linear State Space Systems"
NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom-
ialRoots, Etc.), ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut-
ions, ExplainThemWithTheirReasons.
1. Are the systems whose input-output relationship is given as below linear? Is it memoryless?
Is it causal? Does it change over time?
Find transfer function and impulse responses if available, explain why not.
(ult) indicates the input of the system, y(t) the output. 6(t) is a unit impulse, 1(t) is a unit step
function.)
b. у(t) %3D cos(3t) u(t)
c. y(t) = f, e-t+wu(w)dw
Transcribed Image Text:If I have to ask the question piece by piece, write down how I should ask it. Subject : "Lineer Algebra"(ElectricalEngineering) Books about the question: "Chi Tsong Chen, Linear System Theory and Design" “John S. Bay, Fundamentals of Linear State Space Systems" NOTE:ACalculatorOrComputerCanBeUsedForNumericalCalculations(MatrixMultiplication,Polynom- ialRoots, Etc.), ButTheQuestionsCannotBeSolvedByTheComputer.SomeQuestionsMayNotHaveSolut- ions, ExplainThemWithTheirReasons. 1. Are the systems whose input-output relationship is given as below linear? Is it memoryless? Is it causal? Does it change over time? Find transfer function and impulse responses if available, explain why not. (ult) indicates the input of the system, y(t) the output. 6(t) is a unit impulse, 1(t) is a unit step function.) b. у(t) %3D cos(3t) u(t) c. y(t) = f, e-t+wu(w)dw
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