A system has a characteristic equation q(s) = s6 + 9s5 + 31.25s4 + 61.25s3 + 67.75s2
Question:
q(s) = s6 + 9s5 + 31.25s4 + 61.25s3 + 67.75s2 + 14.75s + 15 = 0.
(a) Determine whether the system is stable, using the Routh-Hurwitz criterion.
(b) Determine the roots of the characteristic equation.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 90% (10 reviews)
The roots of qs are s 1 4 s 2 3 s 34 1 j2 and s 56 j05 The system is marginally s...View the full answer
Answered By
Joseph Mwaura
I have been teaching college students in various subjects for 9 years now. Besides, I have been tutoring online with several tutoring companies from 2010 to date. The 9 years of experience as a tutor has enabled me to develop multiple tutoring skills and see thousands of students excel in their education and in life after school which gives me much pleasure. I have assisted students in essay writing and in doing academic research and this has helped me be well versed with the various writing styles such as APA, MLA, Chicago/ Turabian, Harvard. I am always ready to handle work at any hour and in any way as students specify. In my tutoring journey, excellence has always been my guiding standard.
4.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Computer Sciences questions
-
A system has a characteristic equation q(s) = s4 + 9s3 + 45s2 + 87s + 50 = 0. (a) Determine whether the system is stable, using the Routh-Hurwitz criterion. (b) Determine the roots of the...
-
A system has a characteristic equation q(s) = s3 + 20s2 + 5s + 100 = 0. (a) Determine whether the system is stable, using the Routh-Hurwitz criterion. (b) Determine the roots of the characteristic...
-
A system has a characteristic equation s3 + 2s2 + (K + 1)s + 8 = 0. Find the range of K for a stable system.
-
Consider the following limit order book for a stock.The last trade in the stock occurred at a price of $55. Buy Order Limit Sell Order Limit Precio share Precio share ps 54.75 500 ps 55.25 200 54.50...
-
Padre holds 100 percent of the outstanding shares of Sonora. On January 1, 2009, Padre transferred equipment to Sonora for $95,000. The equipment had cost $130,000 originally but had a $50,000 book...
-
Andrews Inc., a greeting card company, had the following statements prepared as of December 31, 2012. Additional information: 1. Dividends in the amount of $6,000 were declared and paid during 2012....
-
Information: TDS Company uses a perpetual inventory system. It entered into the following purchases and sales transactions for April. (For specific identification, the April 9 sale consisted of 8...
-
Estimating the volume of loans that will be made at a credit union is crucial to effective cash management in those institutions. In the table that follows are quarterly data for a real credit union...
-
prepare statement of cashflows 20 ERC Standard Collision Repair Company ("SCRC) has lucrative contracts with a variety of insurance carriers & is hired to repair automobiles after traffic accidents....
-
Proprietor: Ms. Nicole Coffeur Name: Description: Hair and Beauty Salon Teenage Style Bag The business has the following opening balances: Cash At Bank Account Receivable Motor Vehicle Account...
-
By using magnetic bearings, a rotor is supported contactless. The technique of contactless support for rotors becomes more important in light and heavy industrial applications [14]. The matrix...
-
The matrix differential equation of a state variable model of a system has (a) Determine the characteristic equation. (b) Determine whether the system is stable. (c) Determine the roots of the...
-
Multiple-doctor medical practices are often structured with each doctor acting as a profit center. a. Discuss why such an organizational structure would be useful. b. Go to the Web and find some...
-
Juanita Poblamo makes large ceramic pots for use in outdoor landscape. She currently has two models, one square and the other round. Because of the size of Juanitas creations, only one pot can be...
-
EPI educational products are currently sold without any supplemental materials. The company is considering the inclusion of instructional materials such as an overhead slide presentation, potential...
-
EPI is considering eliminating a product from its ToddleTown Tours collection. This collection is aimed at children one to three years of age and includes tours of a hypothetical town. Two products,...
-
Suppose we estimate the model y i = + u i , where u i N [ 0 , i 2 ] . (a) Show that the OLS estimator of simplifies to ^ = y . (b) Hence directly obtain the variance of y . Show that this...
-
This question presumes access to software that allows NLS and ML estimation. Consider the gamma regression model of Exercise 5-2. An appropriate gamma variate can be generated using \(y=-\lambda \ln...
-
Through Langham Engineering, Michael Langham marketed his invention, the cross-slope monitor (CSM), as an accessory to John Deere equipment. He had a plan to expand his business to include the CSM as...
-
This problem continues the Draper Consulting, Inc., situation from Problem 12-45 of Chapter 12. In October, Draper has the following transactions related to its common shares: Oct 1 Draper...
-
What are the differences between the logical and physical ERDS?
-
Describe the metadata associated with the physical ERD.
-
Describe the purpose of the primary and foreign keys.
-
ABC Company engaged in the following transaction in October 2 0 1 7 Oct 7 Sold Merchandise on credit to L Barrett $ 6 0 0 0 8 Purchased merchandise on credit from Bennett Company $ 1 2 , 0 0 0 . 9...
-
Lime Corporation, with E & P of $500,000, distributes land (worth $300,000, adjusted basis of $350,000) to Harry, its sole shareholder. The land is subject to a liability of $120,000, which Harry...
-
A comic store began operations in 2018 and, although it is incorporated as a limited liability company, it decided to be taxed as a corporation. In its first year, the comic store broke even. In...
Study smarter with the SolutionInn App