Corrections for printings 2 - 4 of the second edition of Linear System Theory Wilson J. Rugh Prentice Hall, 1996

Page 17

The binomial coefficient should be defined as k! B (k −1) . . . (k −r +2) ______________ _k________________ , k ≥ r −1 = A (r −1)! (k −r +1)! (r −1)! B k E = C D r −1G A 0 , k < r −1 D

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In Note 3.6, second line, replace "aside" by "aside,"

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In Note 5.7, the first result is stated in a misleading, though not exactly incorrect, manner. Consult the cited paper for details.

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In Exercise 6.6, the first absolute value sign is in the wrong font.

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In Example 7.10, the conditions on a 1 (t) are contradictory, so we can conclude nothing.

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In Note 8.1, the cited paper by Solo appeared in Vol. 7, No. 4, pp. 331 - 350, 1994

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In next-to-last line, replace "exits" by "exists"

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In Exercise 10.6, fourth line, replace "P −1 x (t)" by "P −1 (t)x (t)"

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In the proof of Theorem 12.2, first line, replace "defined for t ≥ to " by "signal"

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In next-to-last line, replace "exist" by "exists"

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In Exercise 12.1, replace "bounded output" by "bounded-output"

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In Exercise 12.9, replace "bounded-output" by "bounded-output stable"

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In Exercise 14.5, replace "Theorem 7.10" by "Theorem 7.11"

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In Exercise 16.8, replace the given G (s), which is not strictly proper, by s s +2J G (s) = I 1 s +1K H

H

J

s 2 +2 (s +1)2 A A (s +1)2 2s 2 K I

−1

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In mid-page, replace "Define a" by "Define an"

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In Exercise 18.6, next-to-last line, replace "prove that" by "does"

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In the right side of (16), last line, replace "0" by "Ap j "

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In Exercise 28.2, replace "from V −1 V = I" by "from V V −1 = I" April, 2000