Impulse position control algorithms for nonlinear systems / Sesekin A.N., Nepp A.N. // AIP Conference Proceedings. - 2015. - V. 1690, l. .

ISSN:
0094243X
Type:
Conference Paper
Abstract:
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. © 2015 AIP Publishing LLC.
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нет данных
DOI:
10.1063/1.4936709
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984584133&doi=10.1063%2f1.4936709&partnerID=40&md5=b38239975968557ee47800a8a576b81a
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Art. No. 040002
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984584133&doi=10.1063%2f1.4936709&partnerID=40&md5=b38239975968557ee47800a8a576b81a
Affiliations Ural Federal University, 19 S. Mira, Ekaterinburg, Russian Federation; Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, 16 S. Kovalevskaya, Ekaterinburg, Russian Federation
References Zavalishchin, S.T., Sesekin, A.N., Impulse-sliding regimes of nonlinear dynamic systems (1983) Differ. Equations, 19 (5), pp. 562-571; Finogenko, I.A., Ponomarev, D.V., About differential inclusions with positional explosive and impulsive controls (2012) Proceeding of the Instiute of Mathematics and Mechanics UB RAS, 19 (1), pp. 284-299. , Yekaterinburg; Zavalishchin, S.T., Sesekin, A.N., (1997) Dynamic Impulse Systems: Theory and Applications, , Kluwer Academic Publishers, Dordrecht; Sesekin, A.N., Dynamic systems with nonlinear impulse structure (2000) Proceedings of the Steklov Institute of Mathematics, pp. 159-173. , M.: MAIK, "Nauka/Interperiodika; Krasovskii, N.N., Theory of motion control (1968) Linear Systems, , Nauka, Moscow; Schwartz, L., (1950) Theory des Distriributions, I, II, , Hermann; Zavalishchin, S.T., Sesekin, A.N., Singular solutions in problems in the optimization of dynamic systems with quadratic quality criteria (1976) Differ. Equations, 11 (4), pp. 500-505; Zavalishchin, S.T., Sesekin, A.N., On the question of the synthesis of impulse control in the problem of optimization of dynamic systems with quadratic functional (1979) Some Methods of Analytical Construction of Impulse Regulators, pp. 3-8. , Sverdlovsk. Urals Research Center USSR Academy of Sciences; Bellman, R., Cooke, K., (1963) Differential-difference Equations, , Academik Press. New Yourk, London; Filippov, A.F., The existence of solutions of generalized differential equations (1971) Mathematical Notes, 10 (3), pp. 307-313
Correspondence Address Sesekin, A.N.; Ural Federal University, 19 S. Mira, Russian Federation; email: sesekin@list.ru
Editors Pasheva V.Popivanov N.Venkov G.
Publisher American Institute of Physics Inc.
Conference name 41st International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2015
Conference date 8 June 2015 through 13 June 2015
Conference code 117750
ISBN 9780735413375
Language of Original Document English
Abbreviated Source Title AIP Conf. Proc.
Source Scopus