Бутковский А.Г. Методы управления системами с распределенными параметрами
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nYCTb
r = k
(x)
'q.
Tor){a
3TO 9KBHBaJIeHTHO IJOBblIIIeHHIO
ueHbI
x-ro
TOBapa
Ha·
k (x).
TaKoe
H3MeHeliHe
ueHbI
x-ro
TOBapa
nOBJIHSleT
Ha
KPHBYIO
cnpoca
9Toro
TOBapa.
npH
3TOM
ypaBHeHHe
KpHBOH
cnpoca
(<pyHKUH'H
cnpoca)
npHMeT
Blr){
q(x)
=q*
(x)-(D*-D)
[c
(x)
+k
(x»), 0
~x
~
t.
I
ECJtH
)Ke
r = kq H k saBHCHT
ew.e
H
OT
q.
TO
Hy)KHO
nepeCMOTpeTb
BbIBO){ <pOpMyJIbI
cnpoca
HS
<pyHKUHH noneSHOCTH
nOTpeOHTeJI~H,
TaK
KaK
TOT, BhIBOn ObIJI
.cnpaae){JIHB
JIHIIIb
8
CJIylJae
H~3·al..Ui'CHMOCTIt
ueHhI
OT
KOJIHlIeCTBa
npO){aHHOrO
TOBapa.
JlHTEPATYPCL~
,.
I.
A6J1HKepHMOB
T.,
EropoB
A.
11.,
)l<HBOrJlllJlOB
B.
D.,
Kpa-
CH
~
K H il
M.
C., K p y We JI b
E.
r.,
DpHMeHeHHe
BapHa~HoHHbIX
MeTOJlOB
B
TeopHH
HHBapHaHTHblx
CHCTeM
C
pacnpeJleJleHHbIMH
napaMeTpaMH. TpYJlbI
III
BcecoI03Horo
COBem.aHHlI
no
TeopHH
HHBapHaHTHocTH
Hee
npHMeHeHHlIM
B
CHCTeMax
aBTOMaTHtIeCKOrO
ynpaBJleHHlI,
T.
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C pac-
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c6~
«BonpocbI
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B 10.
H.,
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HaqJeBa
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C
MHHHMaJlbHbIM
06e3yrJlep0ll<HBaHHeM.
I1Hll<eH.-!J>H3HtI.
ll<ypH.,
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pee
B 10.
H.,
BJlHlIHHe
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pee
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06eCnetIHBaIOlUHx
HaHJlytIWee
npH6J1Hll<eHHe
K
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C
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10, A H./l
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5 Y
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0 BCK
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JleHHlI HarpeBoM
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}l{ypH.,
N2
1,1965.
.
.
.1
I.
A HII
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H.,
0 r y JI b H H H
M.
r.,
OnTHMaJJbHblll
no
6b1CTp0./leJ'icTBHio
. HarpeB
nJJaCTHHbI
npH
OrpaHHtIeHHblX
H'MnepaTypHblx Hanpll}l{eHHlIx.
Bc6.
«OnTHMaJlbHOe
ynpaBJleHHe»,
«Hayka~,
,1967. .
,12. A HII Pe
eB
10.
H.,
0 PK HH B.
M;,
0
'npH6J1H}I{eHHOM
peweHHH
3a.n.a~:H
OnTHM8J1bHoroynpaBJJeHHlI pacnpe./leJleHHoJ'icHcTeMOli
..
ABToMaTHKa
H
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MexaHHKa,
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13.
A H
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pe
e B 10.
H.,
ill
e JI e
nOB
E.
D.,
BbI60p
onTHMaJJbHblX
napaMeTpoB
JlBYX30HHbIX
arperaToB C
./lBH}I{YWHMClI
CJlOeM
MaTepHaJla.
B
c6.
«DetIH H
cywKa
MawHHocTpoHTeJlbHoll
npOMblWJTeHHocTH»,
Bbln.
23,
«TenJlOnpoeKT»,
MocKBa, 1973. ' . " " ,
""
'14. A
pc
ei:!
JI.
H
B.
B.,
0 B03MOll<HOcTHnO./laBJleHHlI
!<pynIf9Maclll~a6Hblx
Heyc-
TolltIHBOcTeJ'i
nJla3MbI
CMeWHBaHHeM
MO.ll,
peaJlH3yeMblM
,cHciE:l.!oil06paT
HbIX
cB1I3eil. )l<ypH.
TeXH,
!J>H3HKH,
N~
9, 1969. '
..
-
',,'
'"
,
>~;
\.
JIHTE-PATYP,A
«
549
,
,
,20.
.21.
'23.
'24.
,25.
26.
27.
15.
A
pc
e H H H
B.
B.,
0
B03MO}l{HOCTH
nop.aBJleHHlI
BHlfTOBblX
MOJI
rHJlpoMar-
HHTHOJ'i
HeycToJ'itIHBOCTH
nJla3MeHHoro
wHypa
C
TOKOM
cHcTeMoll 06paTHoll
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18.
A x He B
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C.~
OnTHMaJlbHble
npo~eccbI
B
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CHCTeMax
C
HeJ'iT-
paJlbHO
3ana3J1b1BaIOlUHMH
arrYMeHTaMH. YtIeH. 3an. A3ep6. yH-Ta. CepHlI
!J>H3.-MaTeM.
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<PH3MaTrH3,
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Ax
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no
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annpOKCHMa~HH.
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A
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K H H
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3MollHbiX
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22. 5 a 6 a T
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npOMblWJleHHOe
npHMeHeHHe.
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npH6J1H}I{eHHOrO
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/
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MarHCTpaJlbHOrO
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ill
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llo
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Te
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By
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BCKH
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CHCTeMaMH
C
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By
TKO
B C K
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f..
OUTHMaJlbHOe
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CHCTeMaMH
C pacnpe,/{e-
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napaMerpaMH. TpYllbi
II
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51.
By
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r.
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u t k 0 v
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Y
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eu
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BCK H A
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r.
(Bu
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G.), The
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YnpaBJlHlOillee
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fOCHHTH,
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54. B y
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B C K H A
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r., 3a,l(al/a
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KaCaTeJlbHOA
cHcreMoll. Tpy,l(bI III BcecolOsHoro
COBe~aHHH
no
aBToMa.TH'IecKoMy
ynpaBJleHHIO
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KH6epHerHKa),
cHayKa»,
1967.
55. B Y
TKO
BCK
HA
A.
r., BOJlbliHe
CHCTeMbi
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nO,l(CHCTeM.
B c6. cBonpocbI ynpaBJleHHH 60JlbliHMH
CHeTe
..
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HSkBO
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56.
By
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B CK
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f.,
3S,l(a'lH
QnTHMSJlbHOrO
ynpaBJleHHlI cHcTeMSMH'C
pacnpe,/{eJleHHblMH
napaMeTpaMH.B
c6.
cl<H6epHerHKa-Ha
cJly>K6y
KOM-
MyHHSMy»,
T.
IV, «3HeprHlI», 1967. .
57. B y
TKO
BCK H
if
A.
r., 3a,l(a'lH ipHHHTHoro ynpaBJleHHlI
JIHHeiiHblMH
CHeTe-
"
MaMH
C
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LI:AH
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180,
N9
5, 1968:
58.
B,
Y
TKO
BCK
HilA.
r.,
OnTHMSJlbHOe
llHcKperHoe pacnpe,/{eJleHHe TeMnepa-
Typ B HarpeBaTeJlbHblX
netIax.
B c6.
CAHaJlHS
H
CHHTes
CHCTeM
aBToMaTH-
l/eCKOro ynpaBJleHHlI»,
«HayKa»,
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59.
By
TKO
BCK H A
(B
u t
ko
v
ski
Y
A.
G),
Distributed
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60. B y
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BCK
HilA.
f.,
I1>HHHTHoe
ynpaBJleHHe
JIHHeiiHblMH
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MH
cHCTeMaMH.LI:AH:CCCP,
T.
188,
Ng3,
1969. .
61.
By
T'
K 0 BCK H
it
A,.
r.,
.I1>HHHTHoe
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JlHHeiiHblMH
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CHCTeMaMH,
LI:AH
CCCP,T.
188,N2
4,
1969. .
65.
·66.
67.
·68.
69.
70.
71.
72.
73.
74.
75.
76.
77.
78.
79'.
62. B YTKO 8 CK H A
A.
r.,
'¢>HHHTHoe
ynpS8J1eHH.e
H
ynpaBJIHeMOCTb
B pacnpe-
,l(eJleHHblX
CHC1eMax
•
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CCCP,
,T.
191,
N26,
1970.
63~
By
TKO
BCK
Hif
A~
t.,I1>HHHTHoe ynpa8J16HHe. TpY,l(b1CHMnosHyMa I1I1>AK
cYnpa8J1eHHe
CHCTeuaUH
C pacnpe,l(eJleHHblMH nspaMerpaMH» BSHip, l<aH8,/{s,
1971
(aHrJl.
liS.).
. . ,
64.
By
TKO
BCK H
Ii
A.
r.,
llpo6J1eMbi
'epHHHTHoro
ynpaBJleHHJI. B c6. cMetOlllil
onTHMHsaUHH
8BTOMaTH'IecKHx
caCTeM».
c3HeprHH»,' 1972.
J
I
I,
C
'>
::'~"::'/<
JIHTEPATYPA
551:
By
T.K
0 BCK HA
A.
r., B
bI
P K
A.
X.,
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MeTpH'IeCKHX
BosMYIiJ.eHHH
npOBO~lI1ueH
>KI!~KOCTH
npH
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pacnpeAeJle-
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TeXHOJlOrH'IeCKHX
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C y'leToM
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.:"
~;'
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H B 0 r
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C
a~anTHBHbIM
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KOHT80JleM
KOCBeHHblX
nOKaSaTeJleH.
ABT<?~
MaTHKa
H
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152.
)I(
H B0 r
JI
1I
~
0 B
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IT., .llyaJlbHoe ynpaBJleHHe B
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C
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BaJiKOB
Ha
3lJ,BM.
C6.
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