( ), , e (t) Y (t). . . , , e (t) Y (t). , , . . , () Y (t).
, , () [16]. , . . , :
- - ;
- ;
- . , Y (t). y
Y (t)= å aj * y j (t),
m ; {aj}mj=0 , {yj(t)}mj=0 . [0, ]. y(t) [t0, t]Ì[0, ]. e(t), .
÷e(t)÷£d(t), tÍ[t1, t2].
, [t1, t2], z(t), ()
z (t)= Y (t)+ e (t).
z (t)- d (t) £ Y (t) £ z (t)+ d (t), t Í [ t 1, t 2 ].
[t1, t2] Y (t) ²² f (t)= z (t)- d (t) () g (t)= z (t)+ d (t) ().
²² f (t) g (t) å aj y j (t).
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t > t 2 ²², . . t > t 2 , . , ,
Y (t)+= q 0 y 0 (t)+ u 1 y (t) + q 2 y 2 (t);
Y (t)-= u 0 y 0 (t)+ q 1 y 1 (t)+ u 2 y 2 (t),
u (t)= å uj y j (t), q (t)= å qj y j (t) Y (t). [t1, t2], .
:
1. [t1, t2] y(t);
2. Y (t)+ Y (t)--
å aj y j (t*)=max,
å aj y j (t*)=min;
3. Y (t)+ Y (t)-, y (t *), t*- ;
4. , . 2.
:
1.
Y(t)= min max ÷ y(t) a - y(t) b ÷,
y (t) a, y (t) b Í N, " t Í T \ Tp
N ,
" t Í T \ Tp () y (t),
z (t)- d (t) £ y (t) £ z (t)+ d (t),
y (t) a, y (t) b -- y(t) N.
2. ( ).
3. , . . .
4. , , . ., ² ². , .
1. .. . .: , ,1979. 431.
2. : . . / .. , .. . . .. . .: , 1984. 191 .
3. .., .., .. - . .: , 1999. 335 .
4. . ., .. . . / . .. . . , 1997. 188.
5. . / . . . .: , 1990. 325.
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6. . / .. , .. . .: , 1995. 240.
7. .., .. -. .: , 1992. 146.
8. .., .. . - : . . . , 2000. 45.
9. .., .., .. . .: , 1975. 224.
10. 19919-74. . . .: - , 1974. 24.
11. 19838-82. . . .: - , 1982. 18.
12. 23664-79. . . .: - , 1979. 16.
13. 23743-88. . , , , . .: ,1988. 25.
14. 1.00433-81 . . .: , 1982. 21.
15. - : . /.. , .. , .. . . .. . .: , . -, 1984. 207.
16. .., .. . .: , 1990. 126.
充 3 1. , - .... 5
1.1 5
1.2 . 9 1.3 12 1.4 . 14
1.5 - , 23 2. , ߅ 24
2.1 24
2.2 25 2.3 .. 28
2.4 . 32 2.5 . 34 2.6
38 3. ߅ 43 3.1 .. 42 3.2 ... 52 3.4 .. 59 3.5 .. 68 4. 7 9
4.1 . 79
4.2 80
4.3 82
4.4 . 87
5. - 88
5.1 ʅ 88
5.2 ʅ 91 6. -
߅ 101
6.1 .... 101
6.2 .. 103
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ꅅ. 107
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