A quadratic system with a single input and a single output is the state equation given below It is represented by. d [x₁(t) dtx₂0 31x₁ (t) [x]-[1¹³*+ Het) -3] [x₂ (t). y(t) = [1_1][x₂], 1 (0) Lx₂ (0) a-) Find the state transition matrix (t) by the Laplace Transform method. b-) If the input sign is the unit digit sign, find the concise and forced solution for the state variable x₂ (t). c-) Obtain the transfer function of the system H(s) =Y (s)/E (s). d-) Explain whether the system is stable. e-) Obtain the impulse response of the system.

A quadratic system with a single input and a single output is the state equation given below It is represented by. d [x₁(t) dtx₂0 31x₁ (t) [x]-[1¹³*+ Het) -3] [x₂ (t). y(t) = [1_1][x₂], 1 (0) Lx₂ (0) a-) Find the state transition matrix (t) by the Laplace Transform method. b-) If the input sign is the unit digit sign, find the concise and forced solution for the state variable x₂ (t). c-) Obtain the transfer function of the system H(s) =Y (s)/E (s). d-) Explain whether the system is stable. e-) Obtain the impulse response of the system.

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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