Time Delay Systems Part 1 pot

Time Delay Systems Part 1 pot

Time Delay Systems Part 1 pot

... Synchronization of Multiple Time Delay Systems 18 1 Thang Manh Hoang T-S Fuzzy H ∞ Tracking Control of Input Delayed Robotic Manipulators 211 Haiping Du and Weihua Li Chapter 10 Chapter 11 Definition 3. (Pole) ... for Time Delay Systems: Integrating and Unstable Systems 11 3 Petr Dostál, František Gazdoš, and Vladimír Bobál Decentralized Adaptive Stabilization for Large...

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Time Delay Systems Part 5 potx

Time Delay Systems Part 5 potx

... + h 2 M 2 max i {λ M (R i )} + h 2 M max i {λ M (  S 11 ,i S 12 ,i S T 12 ,i S 22,i  )}. Ω 1, i =  Φ 11 ,i Φ 12 ,i ∗ Φ 13 ,i  , Φ 11 ,i = A T i P i + P i A i + Q i + h M R i + h M S 11 ,i + h M A T i T i A i , Φ 12 ,i = B T i P i + h M S 12 ,i + ... (19 98.c) Finite time stability analysis of linear time delay systems Bellman-Gronwall approach, Proc. 1st IFAC Workshop...

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Time Delay Systems Part 7 pot

Time Delay Systems Part 7 pot

... UFOTDS 31 2 1 0 1 0 1 2 22( ) 2 2 d d d gggg p τ ττ τ ττ ⎡⎤ ++++ ⎢⎥ ⎣⎦ = − , 13 1 1 pg τ =+ 1 00 tg K τ = , () 10 112 0 1 () d tpg g K τττ ⎡ ⎤ =+++ ⎣ ⎦ 12 2 212 0 312 1 21 1 14 4 1 1 dd tpggg K ττ ... Integrating and Unstable Systems 11 9 for USOTDS, SFOPITDS and UFOPITDS, where 2 012 22 222 12 12 12 12 22 2 12 213 3 2 222 2 2 2 12 12 1 2 21...

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Time Delay Systems Part 9 pot

Time Delay Systems Part 9 pot

... Multiple Time- Delay Systems 16 5 [] [] 20 2 2 11 1 11 2 2 2 2 11 12 (*) (*) (*) ()00 0 ()00 T T hh DC E E P DC E E P Ω ⎡ ⎤ ⎢ ⎥ +Λ ⎢ ⎥ Ω= ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ +Λ ⎣ ⎦ " ##% " [] 20 1 1 11 12 1 1 11 ... 11 12 11 1 11 2 11 12 21 1 2 000 0 00 00 hh T T h EX AK EXEK EXEK N D D + ⎡ ⎤ ⎢ ⎥ ++ ⎢ ⎥ = ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎣ ⎦ " % " 011 11 12 12 1 h TTT k k NAXXA...

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Time Delay Systems Part 10 potx

Time Delay Systems Part 10 potx

... Q ⎡ ⎤ ⎢ ⎥ +− ⎢ ⎥ = ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ +− ⎣ ⎦ ##% " 11 12 11 1 11 2 11 12 21 1 2 000 0 00 00 hh T T h EX AK EXEK EXEK N D D + ⎡ ⎤ ⎢ ⎥ ++ ⎢ ⎥ = ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎣ ⎦ " % " max 2 011 11 12 12 1 h d TTT k k NAXXA AKKA ... m 1 x τ 1 1 + x 10 τ 1 + m 2 x τ 2 1 + x 10 τ 2 (11 ) 18 4 Time- Delay Systems Sliding Mode Control for a Class of Multiple Time- Del...

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Time Delay Systems Part 11 pot

Time Delay Systems Part 11 pot

... b = 10 , α = 12 .3, m 1 = −20.0, m 2 = 15 .0, m 3 = 1. 0, m 4 = 16 .0, m 5 = −25.0, m 6 = 1. 0, n 1 = 1. 0, n 2 = 1. 0, n 3 = 1. 0, n 4 = 1. 0, n 5 = 1. 0, n 6 = 1. 0, k 1 = 19 .0, k 2 = 14 .0, ... of Multiple Time Delay Systems {sinz, z 1+ z 6 , z 1+ z 8 , z 1+ z 10 }, and the driving signal’s equation must be chosen as DS (t)=k 1 x τ (DS) 1 1 + x 6 τ (DS) 1 + k 2 x...

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Time Delay Systems Part 2 pptx

Time Delay Systems Part 2 pptx

... 2 .1. 2 .1, (Debeljkovic & Owens 19 85). Preposition 2 .1. 2.2 There exists matrix 0 T PP = > , such that ( ) ( ) 12 1QQ γγ = = , (Debeljkovic & Owens 19 85). Corollary 2 .1. 2 .1 If 1 βα > , ... 2  ∑ η g 1 k =1 ( 1) k sgn[ f (ω g k )]  +( 1) η g sgn[ f (ω g η g )]  ( 1) η g 1 sgn[g(ω + g η g 1 )], if η f + η g is even;  sgn [ f (ω g 0 )] + 2  ∑ η g k...

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Time Delay Systems Part 3 doc

Time Delay Systems Part 3 doc

... () () () 1 00 01 11 10 11 11 1 2 1 111 1 2 TT T T T TT TT k A PA Q P A PA A PA A PA k kAPAk kAPAk − ⎛⎞ ⎛⎞ ⎜⎟ +−+ ⎜⎟ ⎜⎟ ⎝⎠ ⎝⎠ +− −<− − xx xxxx (89) Time- Delay Systems 36 Equation (13 ) defines ... first time applied, in (Debeljkovic et al. 19 97.b, 19 97.c, 19 97.d, 19 97.e, 19 98.a, 19 98.b, 19 98.d, 19 98.d) for the analysis of practical and finite time...

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Time Delay Systems Part 4 docx

Time Delay Systems Part 4 docx

... Debeljkovic 2 011 ): ( ) 1 2 1 1 2 1min max T AQQEP σσ − − ⎛⎞ ⎜⎟ < ⎜⎟ ⎝⎠ , ( 210 ) and () max , k N k β λ α <∀∈ K , ( 211 ) where: () () () () () () () 11 1 2 22 max 0 1 1 1 1 0 , max{ : ,1} . TT ... Γxxxx xx x  , (13 6) with matrix Γ defined by: 11 11 2222 11 TT IQEPAQQ APEQ −−−− ⎛⎞ ⎜⎟ Γ= − ⎜⎟ ⎝⎠ (13 7) ( ) ( ) Vtx  is negative definite, if: 11 1...

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Time Delay Systems Part 6 ppt

Time Delay Systems Part 6 ppt

... 1. 0 212 2  , s 3 = −s 1 , s 4 = −s 4 , T 1 = T 3 ≈ 1. 07 715 , T 2 = T 4 ≈ 1. 15 315 ; and ds k +1 1 = Mds k 1 , M =  00 1. 1362 1  . So, as s 1, 1 = 1, thends 1, 1 = 0, ds k +1 1,2 = ds k 1, 2 , and the periodic ... 0.0394 0.0394 17 . 715 2  , X 11 ,2 =  17 .2639 −0 .15 36 −0 .15 36 14 .2 310  , X 12 ,2 =  −9.6485 −0 .14 66 −0 .14 66 12 .5573  , X 22,2 =  1...

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