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In-Depth Information
b
a
b/
0
1
/z
1
0
/z
1
a/
0
f
0
f
1
d
0
d
1
1
/z
1
a/
1
b/
0
0
/z
2
0
/y
1
1
/y
2
c
e
0
e
1
1
/y
2
0
/y
2
Fig. 12.7
FSMs with reference to the topology in Fig.
12.5
.(
a
)FSM
M
F
;(
b
)FSM
M
D
;(
c
)FSM
M
E
M
F
M
D
M
E
whose number of states is 4 and 7 respectively. Therefore, the above
example shows that sometimes a system of equations can be solved more efficiently
than a single monolithic equation.
Acknowledgments
We thank Maria Vetrova and Svetlana Zharikova for their contribution to this
chapter from their dissertations at the University of Tomsk [134, 154].
Problems
12.1.
Check the statements of Example
12.7
by working out all the computations.
12.2. Sets and Systems of FSM equations
1. For each topology shown in Fig.
12.8
, define the appropriate set or systems of
equations to compute the flexibility of FSM
M
A
using local optimization.
For a start, one can consider the sets/systems of equations proposed below as
candidates for local optimizations of
M
A
.
a. Topology N. 1 in Fig.
12.8
a
M
B
1
M
X
1
Š M
B
1
M
A
M
X
2
M
C
1
Š M
A
M
C
1
b. Topology N. 2 in Fig.
12.8
b
M
B
1
M
X
1
Š M
B
1
M
A
M
B
2
M
X
1
Š M
B
2
M
A
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