Q1: Consider the SISO LTI system ÿ(t) + 2ý(t) + 5y(t) = 3ù(t) + 6u(t) with initial conditions y(0) = 1, y(0) = 2 (a) Write the system in the form Y(s) = G(s)U(s) + C(s) (find G(s), c(s), r(s)). (b) If the input is u(t) = 1+ et for t≥ 0, use Laplace transforms to find y(t) for t≥0. (HINT: you may find the MATLAB command "residue" useful) (c) Identify y(t) and y(t) in your answer

Q1: Consider the SISO LTI system ÿ(t) + 2ý(t) + 5y(t) = 3ù(t) + 6u(t) with initial conditions y(0) = 1, y(0) = 2 (a) Write the system in the form Y(s) = G(s)U(s) + C(s) (find G(s), c(s), r(s)). (b) If the input is u(t) = 1+ et for t≥ 0, use Laplace transforms to find y(t) for t≥0. (HINT: you may find the MATLAB command "residue" useful) (c) Identify y(t) and y(t) in your answer

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...

See similar textbooks

Similar questions

1- Plot x(t) = u(t)-u(t-2) 2- Plot this function x[n]= A[n] – A[n– 1] +3A[n-2] + 2A[n-4]
Help
please refer attached screenshot...
Consider the function given below. Determine whether the given function is causal and BIBO-stable. x(t) = 4 rect (t/2) Please show work
determine zero state response yzs(t) when x(t) = e-2tu(t-2) given R = 2, L = 1, and H(s) = (R+sL)/(3R+sL), and refer to the image of the circuit
Find the TF X(s) /F(s) of the next mechanical system.
5 Write the differential equation that is mathematically equivalent to the block diagram shown. Assume that r(t) = t^3 R(s) 54 +35³ +25² + s +1 55+ 454 +35³ +25² +35+2 C(s)
Find i_0 (t) for t > 0
PART A ONLY PLS
Please answer in typing format
Solve for x(t) in the system shown in the figure below if f(t) is a unit step