Open AccessEXAMPLE OF APPLICATION OF THE PONTRYAGIN’S MINIMUM PRINCIPLE “PMP EXTENSION”: ZERMELO PROBLEM (WITH CURRENT SPEED MORE THAN BOAT SPEED HYPOTHESIS)
Author(s) -
Cherif Abdelillah Otmane
Publication year - 2021
Publication title -
chronos journal
Language(s) - English
Resource type - Journals
ISSN - 2658-7556
DOI - 10.52013/2658-7556-61-11-16
Subject(s) - pontryagin's minimum principle , extension (predicate logic) , current (fluid) , mathematics , constraint (computer aided design) , offset (computer science) , variety (cybernetics) , mathematical optimization , control theory (sociology) , geometry , computer science , statistics , engineering , electrical engineering , optimal control , artificial intelligence , control (management) , programming language
We present an example of application covering several cases using the extension of the Pontryaguine minimum principle (PMP) in the case where we add a constraint on reaching a target variety at the final time: the Zermelo problem with current speed more than Boat speed hypothesis, where we consider a boat crossing a channel under a strong current and where we try to reach the opposite bank by minimizing the lateral offset or by minimizing the crossing time.