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High‐order necessary optimality conditions for control problems with terminal constraints
Author(s) -
Gorokhovik V. V.
Publication year - 1983
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660040202
Subject(s) - pontryagin's minimum principle , mathematics , terminal (telecommunication) , optimal control , maximum principle , mathematical optimization , impulse (physics) , order (exchange) , impulse control , optimality criterion , control (management) , control theory (sociology) , computer science , psychology , telecommunications , physics , finance , quantum mechanics , artificial intelligence , economics , psychotherapist
Abstract This is a survey of high‐order necessary optimality conditions for control problems with inequality and equality terminal constraints. Both classical and Pontryagin extremals are considered. For classical extremals, the characteristics of necessary optimality conditions in terms of variations are given, and the investigations devoted to Kelley's conditions are discussed in detail. For Pontryagin extremals, two types of results are given: generalizations and extensions of matrix impulse optimality condition and high‐order maximum principle.