9.16. A causal LTI system S with impulse response h(t) has its input x(t) and output y(t) related through a linear constant-coefficient differential equation of the form dy(t) dt d³ y(t) d13 + (1 + α) d² y(t) dt² + a(a + 1). + a² y(t) = x(t). (a) If g(t) = dh(t) + h(t), dt how many poles does G(s) have? (b) For what real values of the parameter a is S guaranteed to be stable?

9.16. A causal LTI system S with impulse response h(t) has its input x(t) and output y(t) related through a linear constant-coefficient differential equation of the form dy(t) dt d³ y(t) d13 + (1 + α) d² y(t) dt² + a(a + 1). + a² y(t) = x(t). (a) If g(t) = dh(t) + h(t), dt how many poles does G(s) have? (b) For what real values of the parameter a is S guaranteed to be 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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please explain the question as I write in picture
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