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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)
show all work. Last fall, a gardener planted 62 iris bulbs. She found that only 48 of the bulbs bloomed in the spring.
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Mickey Lawson is considering investing some money that he inherited. The following payoff table gives the profits that would be realized during the next year for each of three investment alternatives Mickey is considering:
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To two decimal places, what is the value of the positive root in the auxiliary equation?
Show your work. Hang Time. For Exercises 55 and 56, use the hang-time function V T 55. The NBAs Vince Carter, of the New Jersey Nets, has a vertical leap of about 36 in. What is his hang time?
The objective is to minimize the sum of the completion times of all the jobs. Provide an integer programming formulation for this problem.
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Identify the variables and determine the system of equations. Use the Gauss-Jordan elimination method and solve the system of equations
which is kept uniform, is pumped out at the rate of 2 gal/min. What is the concentration of salt in the container at the instant of overflow?
Why did Leontief use linear algebra techniques to create his model? Can you think of alternative methods? What are the main strengths of his model?
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