Memristor-The Missing Circuit Element - IEEE Global History Network

508 IEEE TRANSACTIONS ON CIRCUIT THEORY, SEPTEMBER 1971
508
IEEE TRANSACTIONS ON CIRCUIT THEORY, SEPTEMBER 1971
=
TABLEI
I
CHARACTERIZATION CHARACTERIZATIONAND ANDREALIZATION REALIZATIONOF OFM-R, M-L, M-L, AND ANDM-C M-CMUTATORS
MUTATORS
[~:] [ T(P)] ~::]
TRANSMISSION
MATRIX MATRIX
SYMBOL
BASH: BASIC
REALIZATIONS
TYPE
‘PE
AND
"
::I = [T(P’][J
USING CONTROLLED CHARACTERIZATION
CHARACTERIZATION
SOURCES
I
d£te
REALIZATION I I REALIZATION 22
w+gf
D---a
‘2
F--ail
il
+
[ 1
(2) + i2+
R
+(!%) -i2+
~ ~; “2
P 0
+
+
I
I ~R,b) = “2 I c
“2
0 P
Uqdt) -
(li,dt)
dVp
“I= dt
'..",{.:] I;i-[J'~') ,f~ ;i-@,:,') .f~
- 1·-
~ t ! ~ VI : t v 2
I 0
dV2
I~ (/vldt) ~ ~ (/ildtl 1----4
VI' dT
dip di 2
iI i = -7
Y-R M·R
l " -dT
-
MUTATOR MUTATOR (q.Vl -RvR,iR)
REALIZATION I I REALIZATION 2
~ 2 -
~;
2 -
v, :;: ! v
'.. ",{ 0
2 VI ~ t v2
2 P
di2
1';.- (/ildtl ~ ~ (/vldt) f.--4
VI’ v I=--
-7 dt
:] l;i-~~).t \ ;i-[J~~;),{~
I
i I • ~ dt REALIZATION I REALIZATION 2
M-L
MUTATOR
M-C
MUTATOR
II i i 2 l 1 2
+ + +
+
(q,9?)"""'" (IL,cPLl
~1'/lldt)
VI
gq-:
~~ di 2 v
LW
2 v, v2
)
'.C ",{ ,
:] - 12 -"'jjf
- - .-
~ ~ V; I 0
I - I -
REALIZATION 3 REALIZATtON REALIZATION 4
VI" V
(Identical to TcR,(p) TCR,( p)
“I = “2 2 i l
1 2
i
off ac Type , I CoR C-R MUTATOR)
1
2
. di2 2 +
II'-dl
iI=-
-
2
I
2
2 - 2 -
-
’ :
v
,"--
i
(/lldtl ~ .0-- (vI) -
(q,~)-(jPL.iL) (q,# -WL, iL)
REALIZATION I REALIZATION 2
i, i 2
[ 1
i
0 P
m
:
TML2fP” )
:]
2 i, i 2
.~ '.C ",{ 0 o
Y
di,
v, = dt
TLR2(p)
'~R>' (v2' +
- 2 - 2 I
v, ~ ,~ t v2 ~~~)§""
~ + ! ~
_ lI 2
vl dt) - (il)_
VI' - dT
(Identical to (p)
ofmf ac Type 2 L-R MUTATOR)
MUTATOA !I
ii, l
• =v2 v2
.I
REALIZATION REALIZATlON I REALIZATION 2
I,
~ i 2 i,
~ 1 2
+ + + +
(q,tp) - (qc'v c )
,
:f-pq*
[ 1
v, (~- ) v 2 VI lIvldt-v, ) v2
dt "2
P 0
- - -l
I ;-
'Me k,(P) ",{ , o (
~ ~ v~ I 0
I - I -
I
REALIZATION REALlZATlON 3 REALIZATION REALIZATlON 4
• dV2 (Identical (I&tical to 10 TLRltp) ( p)
VI
I
dt
ofd a Type II L-R MUTATOR)
'1
~ ~
i, = - i2
~ :]
v, =-i
2
(Idtmticdl t0 TCR2 ( p)
. dV2 d”2
of,f a Type 2 CoR C-R MUTATOR)
WTATOF f)
II il : =r(t Cit
~[l',{~
I +(!!k) i2+
!TDq-y +
(VI)-“!
;i-@*),,~
v, : t v2 VI t : v2
~@~).,lE i 2
L 1
~@", ..f
i2
i," - 1 2
v, : t v 2
v t + v 2
(q .'!') -(vc,qc)
~ (i,) ~ (/Vldt)-
~
i l
i2
r. ,- il i2
blcp=
~ '.c,"'{: p o 3pq
“2
1 ~]
v, • - i
- (VI)
2 (Identical to TCR2 (p) r---4 ~
REALIZATION II
REALIZATION 2
-D---a
'I '2 II
[Jr.)"t
12
+
(ipI
+
v, “I ;
vx
2 VI v2
+: (/ll
t/ildt)-
):
I
I----i
r+-
~" ,,;t r-"+ ~ ~
+
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