Impulse position control algorithms for nonlinear systems

Journal Article · Mon Nov 30 00:00:00 EST 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4936709· OSTI ID:22496239

Sesekin, A. N., E-mail: [e-mail] ^[1]; Institute of Mathematics and Mechanics, Ural Division of Russian Academy of Sciences, 16 S. Kovalevskaya, Ekaterinburg, 620990 ^[2]; Nepp, A. N., E-mail: [e-mail] ^[1]

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1. Ural Federal University, 19 S. Mira, Ekaterinburg, 620002 (Russian Federation)
2. (Russian Federation)

The article is devoted to the formalization and description of impulse-sliding regime in nonlinear dynamical systems that arise in the application of impulse position controls of a special kind. The concept of trajectory impulse-sliding regime formalized as some limiting network element Euler polygons generated by a discrete approximation of the impulse position control This paper differs from the previously published papers in that it uses a definition of solutions of systems with impulse controls, it based on the closure of the set of smooth solutions in the space of functions of bounded variation. The need for the study of such regimes is the fact that they often arise when parry disturbances acting on technical or economic control system.

• OSTI ID: 22496239
• Journal Information: AIP Conference Proceedings, Vol. 1690, Issue 1; Conference: AMEE '15: 41. international conference on applications of mathematics in engineering and economics, Sozopol (Bulgaria), 8-13 Jun 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
APPROXIMATIONS
CONTROL SYSTEMS
DISTURBANCES
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PULSES
VARIATIONS