Suppose (0) = 1. Find(l), (10), and u(20) when (a) u(k+1) = 2u(k) (b) u(k+l) = -.9u(k)
Question:
(a) u(k+1) = 2u(k)
(b) u(k+l) = -.9u(k)
(c) u(k+l) = i u(k)
(d) u(k+1) = (1 - 2i) u(k)
Is the system
(i) stable?
(ii) asymptotically stable?
(iii) unstable?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 87% (8 reviews)
a u1 2 u 10 1024 u 20 1048576 unstable b ...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
(a) Prove that if |det T| > 1 then the iterative system u(k+l) = T u(k) is unstable. (b) If |det T| < 1 is the system necessarily asymptotically stable? Prove or give a counterexample.
-
(a) Find all equilibrium solutions. (b) Prove that all non-constant solutions decay exponentially fast to some equilibrium. What is the decay rate? (c) Is the origin (i) Stable, (ii) Asymptotically...
-
Suppose that M is a nonsingular matrix. (a) Prove that the implicit iterative scheme M u(n+l) = u(n) is asymptotically stable if and only if all the eigenvalues of M are strictly greater than one in...
-
Since the early 2000s, there has been a significant increase in the price of corn-based ethanol. a. A key input in the production of corn-based ethanol is corn. Use an appropriate diagram to explain...
-
Outline the characteristics of a typical shoplifter that should arouse a small business managers suspicions. What tools and tactics is a shoplifter likely to use?
-
Describe how transactions that fall into each of the four categories identified in (5) are pre sented on the income statement, and explain how these categories are useful in terms of the objectives...
-
In practice, i- and R-charts are used together to monitor a process. However, the R-chart should be interpreted before the F-chart. Why?
-
ROBCOR, Inc., whose sample data are contained in the database named Ch13_P4.mdb, provides "on demand" aviation charters using a mix of different aircraft and aircraft types. Because ROBCOR has grown...
-
Miller Toy Company manufactures a plastic swimming pool at its Westwood Plant. The plant has been experiencing problems as shown by its June contribution format income statement below: Flexible...
-
A soft drink bottling company is interested in controlling its filling operation. Random samples of size 4 are selected and the fill weight is recorded. Table 7-17 shows the data for 24 samples. The...
-
Write down the solution u(t, ) to the initial value problem (a) A non-resonant forcing function at frequency (b) A resonant forcing function at frequency = . (c) Show that, as , the limit of...
-
A bank offers 5% interest compounded yearly. Suppose you deposit $120 in the account each year. Set up an affine iterative equation (10.5) to represent your bank balance. How much money do you have...
-
Longfellow Ranch in Pecos County, Texas. While Amerimex would usually provide mobile bunkhouses for its crews on site, the present contract required them to locate the bunkhouses 30 miles north in...
-
4. Write short notes on Wiener Filtering.
-
1.Explain Histogram processing
-
2. Explain Spatial Filtering ?
-
3. Explain the Geometric Transformations used in image restoration. 4.Describe homomorphic filtering
-
5.Explain the different Noise Distribution in detail. UNIT I V 1. What is segmentation? 2. Write the applications of segmentation. 3. What are the three types of discontinuity in digital image? 4....
-
The electron binding energy for copper metal is 7.18 10 -19 j. Find the longest wavelength of light that could eject electrons from copper in a photoelectric effect experiment.
-
Subprime loans have higher loss rates than many other types of loans. Explain why lenders offer subprime loans. Describe the characteristics of the typical borrower in a subprime consumer loan.
-
(a) If we start from 0o latitude and proceed in a westerly direction, we can let T(x) denote the temperature at the point at any given time. Assuming that T is a continuous function of , show that at...
-
If f is a differentiable function and g(x) = xf(x), use the definition of a derivative to show that g(x) = xf(x) + f(x).
-
Suppose f is a function that satisfies the equation f(x + y) = f (x) + f(y) + x2y + xy2 for all real numbers x and y, suppose also that lim x O f(x) / x = 1. (a) Find f(0). (b) Find f(0). (c) Find...
-
Jennifer purchased a home for $1,000,000 in 2016. She paid $200,000 cash and borrowed the remaining $800,000. This is Jennifer's only residence. Assume that in year 2024, when the home had...
-
business plan describing company with strengths and weaknesses. Any gaps in plan. Recommendations for improvement of the plan.
-
You wish to buy a car today for $35,000. You plan to put 10% down and finance the rest at 5.20% p.a. for six years. You will make equal monthly payments of $_______.
Study smarter with the SolutionInn App