Explicit switching times and locations detection for linear hybrid systems

Rosalba Galván-Guerra; Juan Eduardo Velázquez-Velázquez; Vadim Azhmyakov

doi:10.1109/ICEEE.2010.5608661

Explicit switching times and locations detection for linear hybrid systems

Rosalba Galván-Guerra, Juan Eduardo Velázquez-Velázquez, Vadim Azhmyakov

Unidad Profesional Interdisciplinaria de Ingeniería, Campus Hidalgo (UPIIH)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

This paper is concerned with the exact calculus of the switching times for linear time invariant hybrid systems. We study the system's behavior that incorporates dynamical switches from a current location to another and propose an explicit procedure for a constructive treatment of the switching times. An implementable computational method elaborated in this paper makes it possible to solve the multidimensional problem of switching times detections in an algorithmic form. In this sense, the above numerical procedure also determines the sequence of locations of the hybrid system. Finally, we apply the proposed constructive approach to two illustrative examples.

Original language	English
Title of host publication	Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010
Pages	134-139
Number of pages	6
DOIs	https://doi.org/10.1109/ICEEE.2010.5608661
State	Published - 2010
Event	2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010 - Tuxtla Gutierrez, Mexico Duration: 8 Sep 2010 → 10 Sep 2010

Publication series

Name	Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010

Conference

Conference	2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010
Country/Territory	Mexico
City	Tuxtla Gutierrez
Period	8/09/10 → 10/09/10

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10.1109/ICEEE.2010.5608661

Cite this

Galván-Guerra, R., Velázquez-Velázquez, J. E., & Azhmyakov, V. (2010). Explicit switching times and locations detection for linear hybrid systems. In Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010 (pp. 134-139). Article 5608661 (Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010). https://doi.org/10.1109/ICEEE.2010.5608661

Galván-Guerra, Rosalba ; Velázquez-Velázquez, Juan Eduardo ; Azhmyakov, Vadim. / Explicit switching times and locations detection for linear hybrid systems. Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010. 2010. pp. 134-139 (Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010).

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abstract = "This paper is concerned with the exact calculus of the switching times for linear time invariant hybrid systems. We study the system's behavior that incorporates dynamical switches from a current location to another and propose an explicit procedure for a constructive treatment of the switching times. An implementable computational method elaborated in this paper makes it possible to solve the multidimensional problem of switching times detections in an algorithmic form. In this sense, the above numerical procedure also determines the sequence of locations of the hybrid system. Finally, we apply the proposed constructive approach to two illustrative examples.",

author = "Rosalba Galv{\'a}n-Guerra and Vel{\'a}zquez-Vel{\'a}zquez, {Juan Eduardo} and Vadim Azhmyakov",

year = "2010",

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note = "2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010 ; Conference date: 08-09-2010 Through 10-09-2010",

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Galván-Guerra, R , Velázquez-Velázquez, JE & Azhmyakov, V 2010, Explicit switching times and locations detection for linear hybrid systems. in Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010., 5608661, Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010, pp. 134-139, 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010, Tuxtla Gutierrez, Mexico, 8/09/10. https://doi.org/10.1109/ICEEE.2010.5608661

Explicit switching times and locations detection for linear hybrid systems. / Galván-Guerra, Rosalba ; Velázquez-Velázquez, Juan Eduardo; Azhmyakov, Vadim.
Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010. 2010. p. 134-139 5608661 (Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - This paper is concerned with the exact calculus of the switching times for linear time invariant hybrid systems. We study the system's behavior that incorporates dynamical switches from a current location to another and propose an explicit procedure for a constructive treatment of the switching times. An implementable computational method elaborated in this paper makes it possible to solve the multidimensional problem of switching times detections in an algorithmic form. In this sense, the above numerical procedure also determines the sequence of locations of the hybrid system. Finally, we apply the proposed constructive approach to two illustrative examples.

AB - This paper is concerned with the exact calculus of the switching times for linear time invariant hybrid systems. We study the system's behavior that incorporates dynamical switches from a current location to another and propose an explicit procedure for a constructive treatment of the switching times. An implementable computational method elaborated in this paper makes it possible to solve the multidimensional problem of switching times detections in an algorithmic form. In this sense, the above numerical procedure also determines the sequence of locations of the hybrid system. Finally, we apply the proposed constructive approach to two illustrative examples.

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M3 - Contribución a la conferencia

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Galván-Guerra R , Velázquez-Velázquez JE, Azhmyakov V. Explicit switching times and locations detection for linear hybrid systems. In Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010. 2010. p. 134-139. 5608661. (Program and Abstract Book - 2010 7th International Conference on Electrical Engineering, Computing Science and Automatic Control, CCE 2010). doi: 10.1109/ICEEE.2010.5608661

Explicit switching times and locations detection for linear hybrid systems

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