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On Optimal Control and Identification of Processes Governed by Parabolic Differential Equations of Second Order
Author(s) -
Wolfersdorf L. V.
Publication year - 1977
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19770570607
Subject(s) - mathematics , pontryagin's minimum principle , identification (biology) , nonlinear system , parabolic partial differential equation , order (exchange) , type (biology) , optimal control , mathematical analysis , maximum principle , differential equation , first order , mathematical optimization , physics , ecology , botany , finance , quantum mechanics , economics , biology
Maximum principles of Pontryagin 's type are derived for various classes of optimal processes governed by mildly nonlinear parabolic differential equations of second order. The considered functionals correspond to an observation of the processes in finitely many given points as occurring at identification of such processes.