A Lower Bound On the Distance to the Nearest Uncontrollable System
A Lower Bound On the Distance to the Nearest Uncontrollable System
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N + • • • + Z„„) Letting Yj = ZJ^'-(s„_i • • • j^_]) we may rewrite this recurrence as Y„ = 1 Y„-, = a Yj = aYj + ^ + •^;^>+2 "•■ ^j^j + xYj+i + • • • + J/ • • • Since 0 nZin^ n [|X| + 2+(|X|2 + 4)i'M fci(l^l) (2) This bound decreases as |\| increases, so we need another bound that increases as |\| increases in order to get a bound independent of |X. |. To do this we use the same trick as before: dist(i4, B) = crn, i„[fi |A -X/] s crn, in[A -X. /]. As before, we need to bound ||(A-\/)~'|| from ...above to bound dist(A, B) from below.
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To quickly assess the difficulty of the text, read a short excerpt:
N + • • • + Z„„) Letting Yj = ZJ^'-(s„_i • • • j^_]) we may rewrite this recurrence as Y„ = 1 Y„-, = a Yj = aYj + ^ + •^;^>+2 "•■ ^j^j + xYj+i + • • • + J/ • • • Since 0
What to read after A Lower Bound On the Distance to the Nearest Uncontrollable System?
You can find similar books in the "Read Also" column, or choose other free books by James Demmel to read onlineMoreLess
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