On Feedback-Principle Control for Systems with Aftereffect Under Incomplete Phase-Coordinate Data

Journal Article · Sat Sep 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-018-3940-8· OSTI ID:22773857

Kublanov, V. S., E-mail: [e-mail]; Maksimov, V. I., E-mail: [e-mail] ^[1]

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1. Ural Federal University named after the first President of Russia B. N. Yeltsin (Russian Federation)

For a nonlinear system of differential equations with aftereffect, two mutually complement game minimax (maximin) problems for the quality functional are considered. Assuming that a part of phase coordinates of the system is measured (with error) sufficiently frequently, we provide solving algorithms that are stable with respect to the information noise and computational errors. The proposed algorithms are based on the Krasovskii extremal translation principle.

• OSTI ID: 22773857
• Journal Information: Journal of Mathematical Sciences, Vol. 233, Issue 4; Conference: 7. international conference on differential and functional differential equations, Moscow (Russian Federation), 22-29 Aug 2014, International workshop on spatio-temporal dynamical systems, Moscow (Russian Federation), 22-29 Aug 2014; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGORITHMS
COORDINATES
DIFFERENTIAL EQUATIONS
ERRORS
FEEDBACK
GAME THEORY
NONLINEAR PROBLEMS