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Consider
x = Ax+Bu+Ew
y = Cx,
where
(a) Find the minimum constraint on E such that DDP is solvable.
(b) Find a u = Fr that solves the DDP problem while makes the closed-loop system stable, i.e. A+ BF has only eigenvalues with negative real part.
(c) Verify that there exists an E E V* such that (A, E) is controllable. Explain why even in this case the DDP problem is solvable (namely w(t) will not at all influence the output)
The following linear trend equation was developed for annual sales from 1984 to 1990 with 1984 the base or zero year. Y1 = 500 + 60X (in $ thousands). What are the estimated sales for 1984?
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A square and a rectangle have the same area. The length of the rectangle is 3 meters more than the length of a side of the square. The width of the rectangle is 2 meters less than the length of a side of the square. What is the length of each side..
Probability of Arrival, A market in Boston orders oranges from Florida. The oranges are shipped to Boston from Florida by either railroad, truck, or airplane
Write and solve an equation to determine the selling price of the house. Jamie sold her house for x dollars. The real estate agent received a 5% commission and Jamie received $197,125.
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Based on your interval in part (a), is it reasonable to conclude that a majority (more than half) of the population believes the President is doing a good job?
Without graphing, can you use the slope to determine whether there is a solution for a system of two linear equations in two unknowns? How?
What is the sample mean?
Simulate 2000 coin flip experiments with a biased coin with "success" probability (chance of 1) p = 1/5. Plot an outcome of the proportion of successes with respect to the number of coin flips. Supply your code.
Hits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week.
Probability Calculating the Expected Value, You give $3 for a bet in a casino game and there is a 253/495 probability that you will lose your $3 and there is a 242/495 probability that you will make a net gain of $3
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