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Simulation of Stiff Hybrid Systems with One-Sided Events and Nonsmooth Boundaries

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Book cover Computational Problems in Science and Engineering

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 343))

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Abstract

Different classes of modal behavior of hybrid systems (HS) are considered. Architecture of instrumental environment is designed in accordance with CSSL standard. Library of original numerical solvers, embedded in simulation environment, is presented. Theorem about the choice of the integration step considering the HS event function dynamic has been formulated and proved. Algorithm of accurate HS event detection with implicit continuous behavior models is designed. Examples of specification and analysis of different hybrid systems models is given.

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Acknowledgments

This work was supported by grant 14-01-00047-а from the Russian Foundation for Basic Research, RAS Presidium project № 15.4 “Mathematical modeling, analysis and optimization of hybrid systems”. Yu.V. Shornikov is with the Design Technological Institute of Digital Techniques Siberian Branch of Russian Academy of Science, Novosibirsk, Russia (e-mail: shornikov@inbox.ru). M.S. Myssak, D.N. Dostovalov is with the Department of Automated Control Systems, Novosibirsk State Technical University, Novosibirsk, Russia (e-mails: maria.myssak@gmail.com, dostovalov.dmitr@gmail.com).

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Correspondence to Yury V. Shornikov .

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Shornikov, Y.V., Nasyrova, M.S., Dostovalov, D.N. (2015). Simulation of Stiff Hybrid Systems with One-Sided Events and Nonsmooth Boundaries. In: Mastorakis, N., Bulucea, A., Tsekouras, G. (eds) Computational Problems in Science and Engineering. Lecture Notes in Electrical Engineering, vol 343. Springer, Cham. https://doi.org/10.1007/978-3-319-15765-8_8

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  • DOI: https://doi.org/10.1007/978-3-319-15765-8_8

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15764-1

  • Online ISBN: 978-3-319-15765-8

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