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æ ö+ æ ö-= = -ç ÷ç ÷ ç ÷ç ÷ è ø è ø 1 1 1 *ln( ) Where and and 1 2 s s t t c ce ce t s n d nc n d s s s s w s Vw w V w w - ¶ = - Þ ¶ = Þ =- - = = = - y t ce t( ) 1 sin( )= - +-s t w jd 2 ( ) 2 22 H s n s sn n w zw w = + + 2* * 2* * 1 ( ) 2 2 ( ) 1 1 K K T K K Tp i p i z ylf z ynotch z z æ ö æ ö+ - - ç ÷ ç ÷ç ÷ ç.

Ss oe ae. – q% ˜ zD š ƒ± œ a ž – Ÿá. S S N ) " & O S S Q O W O T. I f ø ( è b ø Å Ã ø 6.

Ó m | ´ ³ Ô & ó Ó Ç ¢ u ß s s & s ï ) æ ù ä / í * ÿ » Ó ´ û n s s ¸ s + ù s ê 8 3 ï ) ù s µ s ­ Ñ ¯ ¡ + ù s ê 8 3 ï ) ù s µ s ­ Ñ ¯ Ë L ð s µ s s Ì ø Ê Ó s Ë ' 0 Ý B ¸ t(#:. â ¸ # Ï r u - Ñ Ó ø ë æ 3 ÿ 8 ´ ¯ Ð t f t ÿ t 8 ÷ ï ( ì. æ ö æ ö+ - = = -ç ÷ ç ÷ç ÷ ç ÷ è ø è ø Where, and and 1n d nc n 2 d w s Vw w V w w = = = - 1 1 1 *ln( ) ce ce tt ts s c s s s s s - ¶ = - => ¶ = => =- - y t ce t( ) 1 sin( )= - +-s t w jd 2 ( ) 2 22 H s n s sn n w zw w = + + 2* * 2* * 1 ( ) 2 2 ( ) 1 1 K K T K K Tp i p i z ylf z ynotch z z æ ö æ ö+ - - ç ÷ ç ÷ç ÷ ç.

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æ (upper case Æ) Antepenultimate letter of the Norwegian alphabet, coming after Z and before Ø. 2 2 2 2 2 1 2 A K A K Ys s s 2 s 1 s j s j s s s s w w t w t zt w w Second from CHG 3335 at University of Ottawa. $ @{d t - ç ø¸ è ê õ¢±Ýãɯ µåñ an2172 ø :.

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Ï ú s s ø è â - v ¢ ø 5 f m b 7 Ï ú s s ø ù ¿ s ³ :. Second-Order Systems 1 2 1 s = s = - = - z t t 2 2 2 2 2 1 1 Y(s) = = 2 1 K 1 s + s + s + t t t t t æ ö ç &div;. 7 Ã s ² b s « î ¬ î ­ î ¯ î ² Ü ± Ü ¯ ¯ Ü ¬ ¯ Ü Ï Ê Î ó.

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In fact, this is also true for all values of z.Upon evaluating the coefficients and. As it was seen in Chapter 2, the roots dictate the form of the response Y(t). è ø - / 2 Y(t) 1 = t e K t t t Second Order System Chapter 4 - Page 28 § Case III – Impulse response for z > 1 – For this case, the two roots are real but different.

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B a P a X b m m s s æ ö æ ö F F ç ç è ø è ø Using Tables 1 0 0 0 2 P Z P Z ³ F from STAT 1 at Yonsei University. Second Order System Chapter 4 - Page 37 § Sinusoidal response for z < 1 Second-Order Systems § When the initial transient disappears, only the first two terms remain. > r Ø s s s ( ® Ø s s s L R k a ^ g B f C = & C.

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æ) is a character formed from the letters a and e, originally a ligature representing the Latin diphthong ae.It has been promoted to the full status of a letter in some languages, including Danish, Norwegian, Icelandic, and Faroese.It was also used in Old Swedish before being changed to ä.Today, the International Phonetic Alphabet uses it to represent the "a" sound in the. This preview shows page 6 out of 6 pages. 2 1 2 2 - 1 s = - + - 1 s = --z z t t z z t t Second-Order Systems 2 2 2 1 2 K 1 K 1 Y(s) = = s s + 2 s + 1 s (s - s ) (s - s) t t zt § The roots s 1 and s 2 will be real or complex depending on the parameter z.

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