Optimizatsiya lineynykh parabolicheskikh sistem
Miroslav Kopets
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Optimizatsiya lineynykh parabolicheskikh sistem

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Kniga posvyashchena issledovaniyu zadach optimal'nogo upravleniya dinamicheskimi protsessami, matematicheskie modeli kotorykh mogut byt' predstavleny lineynymi differentsial'nymi uravneniyami s chastnymi proizvodnymi parabolicheskogo tipa. Kachestvo protsessa otsenivaetsya kvadraticheskim funktsionalom. Dlya nakhozhdeniya resheniy rassmotrennykh zadach optimizatsii ispol'zovan metod mnozhiteley Lagranzha, v kotorom uchityvayutsya ne tol'ko differentsial'noe uravnenie s chastnymi proizvodnymi, no i kraevye usloviya. Dlya vsekh issleduemykh zadach vyvedeny integro-differentsial'nye uravneniya Ri...