. , . , , .
. . , . , , .
. , . , .
, . . : , .
(. 5.7), . , .. . .
. 5.7
, . () . . . 5.8. tj tk . , , . , . tk (. 5.8) , . . , , . 5.9. tj tk , pi , , . .
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. 5.8 | . 5.9 |
, : , . .
6. (A -)
(aggregate system), ( - ). , .
- :
- ;
- ( ) .
. () (), , . , , . , .
- . ( S E) R. -,.. () .
T, X Y , Z t.
z (t 1) z (t 2) ¹ z (t 1) d z. z (t 1) z (t 2) h (t) Î H x (t) Î X.
t 0 z , z 0, .. z 0 = z (t 0), L [ z (t 0)]. V. tn Î T n (6.1):
z (tn + 0) = V [ tn, z (tn), xn ]. (6.1)
(tn, tn + i) , t Î (tn, tn + 1) U, (6.2):
z (t) = U [ t, tn, z (tn + 0)]. (6.2)
U , d z , x.
d z ts, z (ts) -. d z ts W, U (6.3):
z (t d + 0) = W [ t d, z (t d)]. (6.3)
Z Z ( Y ), z (t d) Z ( Y ), . (6.4):
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y = G [ t d, z (t d)]. (6.4)
, (6.5):
An = < T, X, Y, Z, Z (Y), H, V, U, W, G >. (6.5)