5 1. Consider the realization r' = -3x + u ; y= 2x.(a) Find an input that drives the state r(1) = -2 to r(3) = 5 for therealization.(b) Can you find an input that results in r(t) = -2 for all t e [1,3] ifr(1) = -2?

We will first find the transfer function T(s) of the system. Next we will determine the output y(t)…

Answered: Consider the realization r' = -3r + u ;…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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Consider the realization r' = -3r + u ; y=2x. = 5 for the (a) Find an input that drives the state r(1) = -2 to r(3) realization. (b) Can you find an input that results in r(t) = -2 for all t e [1, 3] if r(1) = -2?