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线性系统 陈启宗手写答案 1-9章全.pdf

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2 . 8 / g z - t t t - " U 7 = t - 2 . r A t z 2,ic ,4 ,Q{y'aq ,4,24/) e+*a)totts F." ( t ' t * 2 r - l S i r c t : ( . r - r t i r s t 4*.444.,*7 /;rr'./ t = ( r - X / ) / z C4x4dr-r- a t 4 = = ( x - g ) / 2 , z{(t,t) =r-t(# _ _ ) x } Y ry) A t r - , f r . , - t k t d ( r ) = - - u 6 ) _ - - _ _ 5 ' - , ( s + 3 s ( s - / ) = /rr4'- A;t-og O / X + A r a { t ( : r y ) - t r y { t =^l; f(+-y,+,#)qe +) Ax- 0 =hs(#.4)-t(F4) =o A x A X dx+o Ax T.ry-th 4z4l6re4-r l r * l ' { - ' t i r t r l = e - r " * > c 2, t t 4'{ f k) tc ztu a*p*./"t t-zibt?'4t T/tzi, r {(4 =J { t ' ) u t t - c ) c l z a = J fll4 J r 0 c* t-2. .fu; *; 4= -.2 . { ( d 2 i 2 ,ry -/-c*< = L 4f tJ (t) v : :::J;;'] f;i' i,';:,', i,M=[:;:,': 6 a t = f:,' :,';:)' [::,':, ::; ] TAq lh'") aa a4p dr?ct^al/ 4z - .J a 2 , 1 3 { t o = u ( t - t ) , r ( o = t f o t > o 4 - t : i t ( t ) c f ( t ) t y G ) : I i 4 ( t - t ) t 1 ' { ( t t r ) = | + { ( i ) Bzca<- " 0 /k) {ltt = / | ,t, =: tu /* f* o : e < / . t l & r . t 3 t < 2 > ( t < J Q = o . f : t / t ) = o , t ( f l d + 7 G ) ) a t / r t + r ) = o , t ( | r { k ) ) B z e ' u a - . { ( t ) = a h o s t < t ' d l z + + t s i < 2 / * t ( t ) = o , f { (c) = o.J' 7 t; o,5) = a,7f ! t t 1 : o . r ( t r a , 7 t ) " a , t ? f z t t< J J s t < + /* h - z -
F",L hVet/^. / Tld ,h4 e"'&, + o. z4t+t zyzahz e .14 9, to. o o l ( o I i,l'lroyn)/a,lt o 4{/n,1, alz,l o l, e I o d l t 0 -{il, o ) l',/n,t,J c-fre,<.[*r-, t o o I L o a a /cicttt?e/. I rni 2 - / 6 o i = J : - { = i , e - l ^ , t O r t g = ( l , t , l . ) . f r - t , d , ( t , ( 2 ) t)e/cn- *t = 4, trti, *"= 0, .t , 6 7lutt ( 2 r ' z z * . ) t . = * + ) u r = ' o I i , = - P " - ! + r (/, rlr) {, u 7ho +64 ,zoty'a,rtz- ty.,v{'*-r. .*crrt -./Ct t/* . - J -
(t) a-o.t faA . __-[ ; fua.'/*-2t tzu trua-f itsl ao o t+nJ lrrul 2 +r*fo6 di z4r i,a)= ,f^au1 nft;f (, c44 du d {yt-/,t-t< tT*"f Arw/rr4* r ea /;// '1 s'- i G) > l, tts.t - ,1, i r, t I sfts = (/,. /r.) {rirsl -r(,.trf,r, t f r t ) = ( 2 , ' f ' l - 4 , 6s + *,2, i t l ns'ntc,=( ffi - a,)irtt {ftl/ t6t = 8@ frrt) A z r , . l 2 . i 1 r r r i - I r-{l-+1 1;tJ-5=_; - < , t i l s uG) t t J . t ! , fot= i2 = tt (S) 6 t i r t z - { z b s ^ o ' t ( l s + * , t , ) , l - - l C t e l * ' l o o - t l x l o | - t J 7l- G/.o/-',t (*r4 &-
J=l-Jl-l '/c's /"t a,d' i . ['" !i,tR ' I . l t ) : . t l , I /ts) - u,lsl - - f r R r c L , S R , r 0 , r ! - r t ' L e , t t C . S 2 t ' ^ r ( R r / t t ) s s'- 1@'1r , = ? L s t , ( e, - *)(,"t f , r F r . r f r , 6 , t , t Jf- u, = o, a\tl* . i(r) : y'cr, ilTT\T ' t_ l G ) iot,U'- trr(t) J ( n , s * * ) ( t - * ) \(#)"(1,t)i 7aJ",41^- t f ut= f,r', i) rst - f,o tir' t = L i,r, i,,st I I i':' 1 ' l t ' t a J s e c e z a e r = i t , * b i ) ; t = C t , i , J i ' ! t I L Y t l I t ' 'Up.Ut-Un{e7tA, ne ,^-e4.pecf haaz/ to { E.t,irl-* olg X wlfh f ; ? i, "= fi il[i;J=[:J . uq Aaue 9, c2 ti lltpzrf 6 ut 'ts^e S c c t t t 4 t f = - l t I t ) : t ' l t r / . J ' f y o,'i,") du tamzafm u a*al zrr ,t4d t:/En/ Az h* Ip' ='tru - fr,(et,)/, -1r(/,g- !) /, . nrX'= Ar(trc'{) i"'i 0r//^1 x,= 0. zrtd, /^ { =zt d I l^"2/ 4. t ' - t t 7tz** 14 tr,1 t It 0 o 6,tr/t ol.,lf il' 0 o -1,/r, o o t,e i o J z I 0 ,l rlrt)/ r t l : r /^, a a\ ,^ l r r l : - u ttst tl (s) = /o se, [n, (1,(,t ,(,lrt)'ir$r]ti l,L /,' - 5 J ' l t,= ,,/tt x,ll = , f z l J:+ I ,. ,| 'r= xr-(fi *r,) t, = tr= ur/tt't,ll -- ,,r- [1 tl [:J ft t, = ,144 Ant +, a4/ 7^ t, 8?'d rct^+lryA . ze', /*- ruc{a< A/L( nt/u' - u4( ?. on dttt- 3 ' 4 1 n ) r 1 , A A ' a * q r , t + t + c < - t.4 /-.&t . + . t / t 2 r , 4 h = n . q l a , a h = i , a 4
A u na4//T/a4 . Thtt4 A-t= A' az.( A A'= A A'' - Ir, . Oo ar, orctr/t&. 7/u ahan .r"^/ t abu f, 4 .. /* i f . f.4^o/Azrr, ,l,J, tx ! . t o , Q A - I lltta . A''- L1', ?"1 '-f:l fAL,Lt t6 o1z fu p*+.a.tu6.t 1.7 Ftorrt (J.r/ ) 1 . , U x t l ' ' - o r t * ( - + t , s t , + 2 d t ) t * n , t , n ] - S 4 r r * . t r r ' . 4 1 , c 2 - P C , - i 6 t t ; t ( = ' B = 6 4 t 1 z * < , - I = o * J , ; ( , t J { " ' 4 " o ( t ) = / o d z ? 4 a , - r l = o ( 2 ) € x ( t ) - i 2 ) : i t C , - 1 = a e , ' - 4 / t t q . = t ' ( + - t t , ) = ! ( * - j l ' # - 7/yl4 c41 tp-/*z,+t^. *= II # # # ]' 4r4 du tae&(aal 3 i 0 , = [ - : ; " I l - . 1 L , l 2 -h?rt t , 0 d ' i o ' e r i o - c t ' e 4 t z 0 ' + ' / 6 2 I l l ' o , n l s t o , f 7 t 2 o , t r y o a s e a t ) l o , + f d z 4 4 l O i s f ' ( A , ) = z l u U , { , ( A , ) = J - 2 = f ' ( A r ) rt t3 f i + rs Pvrou P ( 4 t ) = g , e i f r ((AtS= j = 3 - J = 0 ".r//'4 kt)= 4''3 = | trltf l; n*trq* [iJ Iiltilftl; *"c([iJ t? trl L:llil;uilra,.H R*yrryan( n*y e/boa J . 7 t , . I t l n a u / e f r h , . , g t z * a e . d z L I J q O. At ht',/&E q Szotttta- , [ ; .e^g.Atlir' t4 t4r4flz a B = l i Y t l ' ' - ( ' t - * ) ' * + a ' + - t - t 1 J l = z * f l - . 1 J t l J 2 f , l l - t :,1=' = 6 q ' + . L c * r : t z c + 2 = o . ,iB A Ttuo & p./.hz ( ' + | t r - t / / L+ # + t ) ' 4 ' - art zV+a-Aat 4,u n+t ea.A
T i u A 4 - - i ; - r s ^ c - A - t e A ' 4 6 = [ u A b t t ' b t ) b ] l 1 , l l a l L o l - 7 A J j . t 1 l A D AL 4'L A' [1 l:1 I l-,, I L 7 J $ a ,,;/L 7-h4/,0 at azf.rzzs"{"ira f r { t , A b , 4 ' [ . 4 t 1 ] - , '-+' I i d o c [ = l r o o , ' o . l t o - 6 | , l ) I o L c o r ,., c/A 7/rq L;//, -t:apu/ 6 dL/ 44a/A/4-Gfr-h .{ A { f . aT, A'6. At[ I q s - I l , l o t d I L o o , ) . - t ; I o i l o e | | l-z -+ -s J e r ( t r - A , \ 8, t, A;(^) 1l eeryat irr /-* = ) 3 , ,? J ; t . r + ) r z ( A : . r ) I A t r > A I L ) ( A + t ) ( A + t t i ) ( ) + , - J ) a - t - t I ,*( t-t I - z s z i ) , , I I n , = [ ' : o , , 1?;ay&. AL .v@ _ t o e d -t-gi a -l+t 0 o Ja a^r t, { a4q( 2 F * A = t ( ) t - A ) t = l : : : l r = o L o e - i l CAL-A) f4i ts* ?4tlZq 2 , Tlaa iAou ct+t Ee t a.,,4, **f44: t*d4edt*f hrllr( &a t , = [ i l t , = l ' , 1 l ^ o J , L o J Fn )-- z (,,rr-O )trlt G,=li; i) i ; - 4A,=l! il:,1 ' oo'oolrr=o,tr=lll . - f t o o 1 A r 2 l , r o \ L o c 2 ) : A+u) = ,rtf (t z - 4*) = I lS -u)0l r-) rrttzsf = A ( A ' - + r v r + a a ) = ) J ) -- o, o, o (Ar-s Z\ -- 44 4t44 ^.'4 2^e+ Tlru at Jaula'tt /*" . tile. c4tf"'^A /1c"4 A'A'* | "!1'4 J'''la4* + r l z o , t l -ts -zo) (t*-^r)'=foo i :r\l: I o - L r - 2 o ) L o : l:: :l A,tr,'=[1 I:I; l:,11"
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