A system has a characteristic equation q(s) = s3 + 20s2 + 5s + 100 = 0.
Question:
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 equation.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (15 reviews)
The roots of qs are s1 20 and s 23 j224 The system is marginally st...View the full answer
Answered By
Charles mwangi
I am a postgraduate in chemistry (Industrial chemistry with management),with writing experience for more than 3 years.I have specialized in content development,questions,term papers and assignments.Majoring in chemistry,information science,management,human resource management,accounting,business law,marketing,psychology,excl expert ,education and engineering.I have tutored in other different platforms where my DNA includes three key aspects i.e,quality papers,timely and free from any academic malpractices.I frequently engage clients in each and every step to ensure quality service delivery.This is to ensure sustainability of the tutoring aspects as well as the credibility of the platform.
4.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Computer Sciences questions
-
A system has a characteristic equation 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...
-
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 s3 + 2s2 + (K + 1)s + 8 = 0. Find the range of K for a stable system.
-
Suppose you have agreed to take a short-term loan amounting of $2,000,000 from your banker. The loan tenure begins on 3 months from today and the financing rate is based on 6-month LIBOR. However,...
-
Penguin Corporation acquired 80 percent of the outstanding voting stock of Snow Company on January 1, 2010, for $420,000 in cash and other consideration. At the acquisition date, Penguin assessed...
-
Why do you suppose pentane-2,4-dione is 76% enolized at equilibrium although acetone is enolized only to the extent of about 0.0001%?
-
A surface condenser deals with \(13625 \mathrm{~kg}\) of steam per hour at a pressure of \(0.09 \mathrm{bar}\). The steam enters 0.85 dry and the temperature at the condensate and air extraction...
-
Shown below is an income statement for 2010 that was prepared by a poorly trained bookkeeper of Howell Corporation. Howell Corporation INCOME STATEMENT 31-Dec-10 Sales revenue ........................
-
You are working as an analyst for a potential investor in a new wind farm. The wind farm will be located in a small electricity market. The market currently has one major generation firm and several...
-
The Medical Assurance Company is investigating the cost of a routine office visit to family-practice physicians in the Rochester, New York, area. The following is a list of 39 family-practice...
-
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...
-
A system has a characteristic equation s3 + I0s2 + 2s + 30 = 0. Using the Routh-Hurwitz criterion, show that the system is unstable.
-
If the rms value of the electric field in an electromagnetic wave is doubled, (a) By what factor does the rms value of the magnetic field change? (b) By what factor does the average intensity of the...
-
What is tax planning? define its impacts and how it was implimented?
-
family business Green Grass decreasing profits a) What are the opportunities related to fraud you have observed? Do you think the fraud occurred in this business? or just owner's skepticism? b) Have...
-
Organizations are moving increasingly global. To what extent are the individual workers, work groups, and organizational leadership (i.e., the field of OB) important for firm success in this global...
-
A clause in many insurance policies require the business owner to carry at least 80% (percentage may vary) of the replacement cost or actual cost of the building. This clause is known as what? define...
-
Prepare an incremental analysis to determine the financial effect of dropping product B. Your analysis should include changes in revenues, changes in variable and fixed costs, and the resulting...
-
In Exercises, use the Second Fundamental Theorem of Calculus to find F'(x). = SBVT+ Jo F(x) = 1 1 + 1 dt
-
Synthesize the products by drawing out reagents and intermediates along the way. `N H. OH HO HO
-
What is an index, and how can it improve the performance of a system?
-
Describe what should be considered when estimating the size of a database.
-
Why is it important to understand the initial and projected size of a database during the design phase?
-
What is the yield to maturity of a 23-year bond that pays a coupon rate of 8.25% per year, has a $1,000 par value , and is currently priced at $1,298.05?
-
Suppose the exchange rate between U.S. dollars and Swiss francs is SF 1.112 = $1.00, and the exchange rate between the U.S. dollar and the euro is $1.00 = 0.9842 euros. What is the cross-rate of...
-
Use the following information for the Lowell, Inc. for this and the next two questions. Sales $200,000 Debt 95,000 Dividends 5,000 Equity 40,000 Net income 16,000 1.What is the company's...
Study smarter with the SolutionInn App