Open AccessOn the Problem of Pursuit of the Fractional Order in a Dynamic System with Nonlinear Controls
Author(s) -
М. Ш. Маматов,
Xakimjon Alimov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1626/1/012045
Subject(s) - order (exchange) , pontryagin's minimum principle , nonlinear system , differential game , differential (mechanical device) , control (management) , optimal control , process (computing) , mathematical optimization , computer science , quality (philosophy) , mathematics , control theory (sociology) , economics , engineering , artificial intelligence , physics , finance , quantum mechanics , aerospace engineering , operating system
This article discusses the problem of expanding the results for fractional differential games and optimal control systems. Fractional order management allows ensuring the quality and safety of products, environmental process control. Solving the pursuit problem, we rely on the Pontryagin methods developed for linear differential games of entire orders, and we obtain new sufficient conditions for solving the pursuit problem.