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Existence of optimal control for non‐linear systems with an implicit derivative
Author(s) -
Dauer J. P.,
Balachandran K.
Publication year - 1993
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.4660140206
Subject(s) - compact space , mathematics , derivative (finance) , measure (data warehouse) , quadratic equation , set (abstract data type) , fixed point theorem , optimal control , pure mathematics , linear system , mathematical optimization , mathematical analysis , computer science , geometry , database , financial economics , economics , programming language
The existence of an optimal control for non‐linear systems having an implicit derivative with quadratic performance is proved. The results are established through the notions of condensing map and measure of non‐compactness of a set and using a fixed point theorem due to Sadovskii.