Answered: Explain, with reasons, whether the LTIC…

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

Related questions

Question

) Explain, with reasons, whether the LTIC systems described by the following equations are (i) stable or
unstable in the BIBO sense; (ii) asymptotically stable, unstable, or marginally stable. Assume that the systems
are controllable and observable.
a. (D2 + 8D + 12)y(t) = (D − 1)x(t)
b. D(D2 + 3D + 2)y(t) = (D + 5)x(t)
c. D2
(D2 + 2)y(t) = x(t)
d. (D + 1)(D2 − 6D + 5)y(t) = (3D + 1)x(t)

Expert Solution

Step 1

NOTE- As per the rules we can answer only 3 sub-parts, please post the remaining sub-parts as the separate question.

$(a) (D^{2} + 8 D + 12) y (t) = (D - 1) x (t) \frac{Y (s)}{X (s)} = \frac{s - 1}{s^{2} + 8 s + 12} = \frac{s - 1}{(s + 2) (s + 6)} A s b o t h r o o t s a r e i n L . H . P . t h e n t h e s y s t e m i s b o t h a s y m p t o t i c s t a b l e a n d B I B O s t a b l e .$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions