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JOURNALS // Problemy Upravleniya // Archive

Probl. Upr., 2015 Issue 3, Pages 12–19 (Mi pu915)

Analysis and synthesis of control systems

Algorithmic method of control design for nonlinear uncertain system

V. N. Afanasiev

Moscow State Institute of Electronics and Mathematics — Higher School of Economics

Abstract: The problem of optimal control for a class of nonlinear objects with uncontrolled bounded disturbances is formulated in the terms of differential game. Special algorithmic procedures are implemented to find solutions to this equation in tempo operation of the facility. The results can be used to solve theoretical and practical problems encountered in mathematics, mechanics, physics, biology, chemistry, engineering sciences, management, and navigation.

Keywords: nonlinear uncertain dynamic system, differential games, Hamilton–Jacobi–Isaacs equation, algorithmic design.

UDC: 517.977.8+517.977.58



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