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ece604 lecture 15

# ece604 lecture 15 - Lecture 15 ECE 604 State Variable...

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Oct. 29, 2009 Linear Systems © Douglas Looze 1 Lecture 15 ECE 604 State Variable Analysis Doug Looze

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Oct. 29, 2009 Linear Systems © Douglas Looze 2 Announcements PS5 due Midterm exam Wednesday, November 4 7–9 P.M. LGRT A203 Open book, notes No electronic devices No class Thursday, Nov. 5
Oct. 29, 2009 Linear Systems © Douglas Looze 3 Last Time Canonical decomposition Any LTI system can be transformed into subsystems (C) and (O) (C) and not (O) Not (C) and (O) Not (C) and not (O)

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Oct. 29, 2009 Linear Systems © Douglas Looze 4 Canonical Decomposition ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 [ ] ( 29 ( 29 ( 29 ( 29 ( 29 121 21 123 124 21 0 0 0 0 0 0 0 0 0 0 0 0 co co co co co c co co co co co co c co co co co co co c co co d t dt t d t t dt t t d t dt t d t dt t t t t t t = + = + x A A x B x A A A A x B u A x x A A x x x x y C C Du x x ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 [ ] ( 29 ( 29 ( 29 ( 29 ( 29 121 21 123 124 21 0 0 0 0 0 0 0 0 0 0 0 0 co co co co co c co co co co co co c co co co co co co c co co d t dt t d t t dt t t d t dt t d t dt t t t t t t = + = + x A A x B x A A A A x B u A x x A A x x x x y C C Du x x
Oct. 29, 2009 Linear Systems © Douglas Looze 5 Picture C O C O C O C O u t ( 29 y t ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 [ ] ( 29 ( 29 ( 29 ( 29 ( 29 121 21 123 124 21 0 0 0 0 0 0 0 0 0 0 0 co co co co co c co co co co co co c co co co co co co co co co d t dt t d t t dt t t d t dt t d t dt t t t t t t = +

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ece604 lecture 15 - Lecture 15 ECE 604 State Variable...

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