Solution manual for chen

Solutions Manual for Linear system Theory and Design Third edition Chi-Tsong h,**aat' Chen C T Ur€+u ECE suN y et te{ gn-{ ,t/z'T 0//r4, N Y t t ffr - W e4y6L 2, t kr) Ltrtza.y (6) g e4 { n* ,*Vtut< / = / _ lo "-, _i.f cfu ,Vr.rrZV /6c;t7 (0.ls|.(fu* xfu (u.i) 2' Z d4! /-,r-/ e"td 4Q4 2.3 j-*rt2^?6 rtaa /-Uza, t< 4; 4+tl 2,7 {.r = H qc'' H u c -@ ,e J a a )= E s= PnH4 : c >eC tbtaxz- a4( alo nal WF ,ud du ,4-€1f - du.n a6f,:a - 4(4,.7o) {t-f /-.t /* ";."2-r/ ;6-et ; Tfa2 = Zta) 7(a) = T0) - z(p) , Tfuq au trtn/ae ,Jtt (2), a< /tatc til) r H(-nrt,-ntc)) = - ft (nU, h Irl J G&, (| ) t7 t'- *=* ceu -&V't ufu-r-t naa}m u = n'V e,tu't flit' Tr= mXo ,.iuoL = t4 (t/.Xo ) = * H( tr, rc) H(6 n7'/,t" u, i't,) Caz+rAa H (ae,otre) " H (* r, ft ro) - h H(iu i t,) = L H (u,To) = o1H (0,2cc) r Z(a) ( r) at" G ) = -r7 H(a,2t) u,'p&^en H {u, xe) = 2"ll ( I Y") t*a, ,utznit-o 2.€ ^f'1ua.pe"2?L ? tl'f zfs.n -rtu,t *% PnHPn u (PotHu)G)= (Hpau)G) /* Ut (t-t) n {4 ,t Vtutr* H ?n4,-rr7o) fu /1q / HP,(tl 7lr4u du *f?ut o*4 Ht4o2 o =11(nu, hte) (Pu/la)rct=o fu (p p, u)ttt nqt (fsr,t/ (u,/c/, tL tt))z * a = #(h4r(-40),nrc-(-h H Pn il c-* ro) 4n1^1 B.ernu.az = 4{ 11 h u, 27te) = H (e, tr) * // ( u, zo) r'.' zth = 44 r,t)tx,t m) {aan = nH d r-n.o, Thrq 'te) i t -h tl il (t-i) ,-{- *aAAi;fr, *d Arr,-, ua ( t < J at ( | r {k)) h /* dlz++ osta- I o ) (l-,tZ) olr ) , orr zl; A eryac-a/u-t t/ rtaf li ^i ai'i,fr't'r ^t, ^; *li,-,; ti-ti ti-ri ,tiI ^, l= A'-A,,lr-A A', til /12e_ itt,uo "/&* | t =2 @,t(t l'- b = -L t gI * F) ,3 r L ( t ' =o , ,/'r x ( Q r t J= ( A - b i l x t f r 1r b u t t '(ft'"il tilr'l ")'*'"[rJ'*{os = f u Q > c , Thza ?f1S=# =ft ;,:1"0"[iJ'aH?r irr,= -olu*c/' ca,r, lc Y ' y* ";,fr,rr tJ carrr,*6 , i o ' AJ * = I l o t L-t -r o e n^ t! = Il o a L o o Tlwo ax 4tu,e !r= l'r vl x[aJ fu fi>t &,7 aq t z J zcL /*a$4 t7di 'T/tr ry 7/t*a e-gruafu; A 'i /ar-/a.t a4 Aat ,,;{fu ? drz ZZry 4-br"da /.n-/,atr ai{fl -/ ae rd (h//ard a,,@ Wa-27*.4x i, [.r,,,, !, ] r, , [;.J, Tka, du zr-.ay'^r4a6at t =[ ! ' i t z ] , I o - ! P) /t C.t z - t8 - fu A.n-rtz,4 -G/a.tA ,4 ra/r *,=t: -iJ",,Il J, *f" ,; tu< 42=-JQ = [1 a4 i,r) : I S', A 2) 4Zl Vt=Px, *A )r t ott ct -4.2-/+!z1a / ( Trualt+< trtJ=a- P ' ' = a = f t :,?=l [ 'i,] I , * I 7fu cnnLd^fitu b f.raa/? ,rti\= o y,tt& i, t*pau,Jd rfu4 eo t Lrt t , orQ x(t,,,= [: J-t l -/ 7't 'Eljivl'.El , u4A Aa/.4+14"d- ry-a eer" e O{a a+4t6+L 7-"^er;A 1tu trzl ccrfurt/ ao o,17S6 I [0,.Jt T'Lt4 tr,)= -n,oa//J Ln,rt72 -','l =[:;':,::] ',; 'f r't J" htc TA -aztt q,u.eq.a/ z %f.f,^ cerc ftnZy',*4 a//A { t, ,, -,1 e*, e A1 Ttwd A.tu """./;ru, ccnMak zr)a+raZt a -l tt ; atazp.t/ ' -/- qlttof Thtu du aaazaet< a//.4 dla #/J *ercqt.M/o-/4, tu, = [t, Beas-az -/ afu./*r/ t/'J L, u,*r/45 qrV = - hb =tt a / o ) c o al) -4ot';ec-tt = t - e J C t0 ; - ) 3s -tl i t t J s / t= Lryu "rlun44aaaa.( = , - t; ,', *; ( l) cafnraQ- ; 4; (r) a,.et 0) /r/Zd ; = [: : J ' t : ] ( r + r7r - s s) =[:i',iJ, -[i,)J, [:J" i='tr'f vl.i>L"(t caq i,n 'Vu tar f Bz.f ,,t7 2a fr-r,f o jI o o ,y' ,x c!'/{a.rrz./ 'nc{./o." 'n "V./o'.r-.' m- ezrru 4//,rrr'.f td/ du {< o () / oJ (F,=['n'o',2]) 4b = ( r o e a; '6el.l l'/r,t a4 : ;r::ll, l t1, i :l , = I'J ? : (r> /t*.rf4"| t/47L8 - q 46 q 4f/"4'z/ f T r t l ! - d ) ] ) +/ anl,ar.tt - f - = 1 - t - ' ! - oI -(c , f ' ? r o I LoeaoJ l-2,-;'-i"l )-l ,ts"85')z = ,.J/ t =L0 t co) {.k) "l zt E,naZeul J'aett - Ji'yJ7/ /,ltg 6s ttl.oq( nr*q /' [ t ( =[-J oi-t& rcir rtqr_( ed (= J #+'< 8r7 -+i'tu,o tl rtlraft d1t4 lrJ = [a 'tz;'zr >z':rzlf 8c A, B, A, a.q/ z/a I - ftt Nldrz{,.* r14sL+zszs_-Jl [tt, n& ol , aa4/ [4o 8a 4, 8, i]4J o*/re, P4L.z^26+ ft- le S L+ ;? s f Z Ctss=ff'6 Z& St*r? J- -t C tsl 4tst fh4 /+{ ( t ' ,,-fil.hcf ,/1*;-tt- -L.t"/ +aA)zxJ Az ,4rt+fr/ ,*7r.tz.< '/t J , Tth fir uoHzry /ir*24 gia4 4-'d aa W du @.-pu t/+rrj='1" - q2- a-c/"t< -reet*'f /";te-dC ,rtt-?t - ' '6'4*? J a4'1p f,l ir 's= -/ +5 o -zs r s J -r - - - s (t-:) B i s t = t a , B , s ; [ J , r - ' rg , s " 8n t B,s 4crAr5 Ctr = (, t = i'oi.l.(.s rr a )) -1t 4411,9r-/ta- At+J Fts) = (srz) t sz-zs r z)= r t I s r* sr* rr 'z t t o 'h'rn dt y'ul|'yt i, z z ; Lrsl - ,t,= P cr+i,t, , o) =S' t z1 A' s (s rfuba 2u -4 l t'7 J-/ t 2 - t s - / tr'-L@ =Las ,$ i.r"I,- t(5-z,t),-' tl ? cz7n{-t*r+1a.Oo ) zs + 2) (s r z)^ ("'* +f = /*ft ' (t) (s-r)(62srtt) -r'._ - _: _ = ,t_L (srtS- t 3tl n J /."r*h / - , 21a (s -z)3 B f B0 46/nr lu v," p a&z0a I - s - ' ( - t { t ' z.t u i,.-?.6,()) ,y ra+t-T b, sat 142,U o/'u 6; J-z i */r1"4rz/"^C/4 ffij dt4 a3 fr tL* (s1-r.)(s-r) s J t ors'r Qrs o /4 h4t ei1 ot tz-{ o v , f iJ ,a f,rz irr, = , f - i * t ' r ' i " " 1= f f i t , trel/oH ':.41 P,taczdr-t< A \ d ^ r (h.< (s) = -E (s) f ll ts2 f(r'{otssirtl=f, f, t , fot st : r(s)= hDtar &< , , ( s ) - J + Htg lr;lDls2 t ' l oA , H , ] l o - z t lto j)(s'+zs,z) N/s)=(6, (6 E t J f= A^il'At-r* t4 A(s) = s -zt VY"/,, dU -1: C-)t c'az*y'.ttuah.a ABt o*T p.1, !u4 ,i.t */t ctu ,yrln /4/t t'// /^' ,1tdft4Yu foAl Ctts)= ;_ Ao ot n&r W 'ilT*na+t d- a.4 Tfuio f,r4 " to(s)= = = [- z -2rJ '[t-zt e J 'l-:tq= C-z P'*/12r, *, aiyst I = ) -4r)o)^ I 4'bt':tt lo dr' - r8 z s-tt I C -+ c f l u a i o t o s = t( *rl4o=bo r =o ) I e,=5, {"'te) l,rr - fe ' l - s n z [f ; l M.* ( ( c , i a t n ) ( , r ' t r nl a s D ' t (.er41J't" - =zt z +t-+t x rt > O't rQn th -(0't " rnuntD't)tlo'"'::"t:J 3ae JLlu'1 q: 4crQttr bo 4e lot's ue att.ruf 4,/o u4rV i - ze j t is rL,s r.' r5^sh 'r-tt hr'g Tls'=o C-^*A^ ->(sril ::+t 'It)t"-' C t l :- f LT>t "4 4,4t4 =f C,ut- Crtst il;:;l r'-)l O az t)&' 1Y** =folol a , f"rda t ',4 tA Eci f 4(d ry iftt = C,rstFo - C)tst lrst '"^^4 =/ ft '' #] {ft) drr*)= % ";lrz, C - t -.- tt t )- - - g -ti f;/tc) fu =2p.t - Mrs) l, *o BIA0 i6z/,{, 7/u4A b( / z8 J ' l i,,'t d /'6 J,e-;; I l:'-t t oJ L Oq r / ^ t, = :,/, ( lru)n) Lis)=-2('ir)) J'r' A s f l ',{,,r0)o ts=o rn ' = a owtlc 4Q, {o,t) 'rAs i rJ fu S= It - J' &t p cla "1 i,rss) dqt F()= z c e.d44 T b ( D f , r r = ( s - z t ( s + o )to'-' (s+))(S-+25r2) b , s z + ( b o - z b r ) s- b o S3++sz*6sft* 45'- l& -Pt - -z 6o: ->b, , = , 'u4'f d/*ta**+4e.& ( b , s + b o ) = , t s !,ru4f l +tl-r -rtlt;] R/, = Gis)(s-z) 'ftt ,lr i Wnz+v,b&4 f., ,nvt-t tiun *? 6r u,/ b" fu *f* ^a-az/2 *V *'F dtz axyaa'G entt {.< 4*4,.4 ( D o ,B r r ) , A ,g , , ' ) f o I r t c c l - -t-z'1ft*- tR l " o t c I | ' ; ;;,-l lbc:* *6r:'2 -" b r - -t , = b,'t (bo-E) = -+ ned, dor.cA< i t o J / L c =f#@l=r ?, r6 {*" ,o.ecc*+Jt/2 e-av (ol_c.i ce+v ' ] [ , , - ;r l f , ' , t ) - , , , , , f )' ) N rs) = prrt Fr, , I L a l +s/l'+s'-s) ) o (,, ( +(s'-4s rt ) l A4 o I ' r L s el & s z r ? s | , s = Il t t Jl u' t)['ouz,sa:(s'D) l"tt L/tan, Dts) r Hts A(s) Lz a">rVrz& Gr&l = lr!(s) F-1, L ts) ) ktt a^Jo< Atsl =tro t r s r z s z M t s )= L l or f r l r s , H, s' - etiznt, o L Tltua.dv l r - ' l + ( s L - + sr r ) | A ualdf ta cM t ,t '/ -, tl',nur /,u | t,t ' ' "ri -ol ll ,,i:,i-J ' a '7iieoia i cI i t4^y' - - : - f t;' 'oo 7l t,' i2oo t, rI j0' \ ,ci co\ j ' 4, o : l aoa t rs o o l ' - o ' , 0o 1I ' ',oa',-t o o z ' , , -oot t\a o ' o "\ oo o \\ oo ee' , o o o '-ttl lo o I l1r z 4o ;i zat o ; r * o : T o i r o : o a ' l i o i o t i a 6', o o l Nr{e daf a f'( 4;trz hlaf dqwcbltf au c14oV/ ad ataytA {@ 6cf/uL/.4rn tt4, /r4{ t(L rrra&f /4 't61,-81 -i.l , o + + z f oo , - T , r- + i o o l n , o r,slo t',!i J J T rt/.d i-< t{4t< f -J! r L!.et 7lts2:1 t ' ^t I ? l - c A(s) Q -yz,l I et4 dv rq74L +J frfua N'd= ,N(s)D.,(,t I, , ,(Ta N,(u:r -r' J ' Nt'|kt n1','fl, ,'l :-, ] , ") [': 0rs;irts) f-'tst -tlfo,o = - ls'*rt lft l-' I o J l " - ,t J l t o , ) ) = [ t' ,u,-t -l'tt-t L-, / ss J A-'(st LB) z,7r= /,, ?*,4;o; un4',,^ - D/s) ; N,''{c)' h [:, 4Lt -t21 l ait/v r-zit, s) N(s)= ', : N/s, l_t, J - ' l AtsT=|"-J -7,,t s'+fs-4 L *f*r* F f(rt' -r i rI'' , t t Jl ;Ls iar *&d d f4 o, rfu 4il.,6e, n.ry/ J u)c //4_/ du Cn,=[: tlkd, t44rLAg, -/Y a4{o_ ': 'J'= l::lr:','l' J r,tet ; dz4r/cr/,ry A,z cei+z4fe?4l&./ r u