About Stability of Selector Linear Differential Inclusions

Seifedine Kadry, Gennady Alferov, Gennady Ivanov, Artem Sharlay

Research output

5 Citations (Scopus)

Abstract

In this paper the problems of stability and asymptotic stability conditions for the motion of mechanical systems with holonomic and non-holonomic constraints are under consideration. Stability analysis for the systems of differential equations is given in term of the second Lyapunov's method. With the use of the set-theoretic approach the necessary and sufficient conditions for stability and asymptotic stability of zero solution of the considered system are formulated.

Original languageEnglish
Title of host publicationINTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2018 (ICCMSE-2018)
EditorsTheodore E. Simos, Zacharoula Kalogiratou, Theodore Monovasilis, Theodore E. Simos, Theodore E. Simos
PublisherAmerican Institute of Physics
Number of pages4
Volume2040
ISBN (Electronic)9780735417663
DOIs
Publication statusPublished - 30 Nov 2018
EventInternational Conference of Computational Methods in Sciences and Engineering 2018, ICCMSE 2018 - Thessaloniki
Duration: 14 Mar 201818 Mar 2018

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume2040
ISSN (Print)0094-243X

Conference

ConferenceInternational Conference of Computational Methods in Sciences and Engineering 2018, ICCMSE 2018
CountryGreece
CityThessaloniki
Period14/03/1818/03/18

Fingerprint

selectors
inclusions
differential equations

Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Kadry, S., Alferov, G., Ivanov, G., & Sharlay, A. (2018). About Stability of Selector Linear Differential Inclusions. In T. E. Simos, Z. Kalogiratou, T. Monovasilis, T. E. Simos, & T. E. Simos (Eds.), INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2018 (ICCMSE-2018) (Vol. 2040). [150013] (AIP Conference Proceedings; Vol. 2040). American Institute of Physics. https://doi.org/10.1063/1.5079216
Kadry, Seifedine ; Alferov, Gennady ; Ivanov, Gennady ; Sharlay, Artem. / About Stability of Selector Linear Differential Inclusions. INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2018 (ICCMSE-2018). editor / Theodore E. Simos ; Zacharoula Kalogiratou ; Theodore Monovasilis ; Theodore E. Simos ; Theodore E. Simos. Vol. 2040 American Institute of Physics, 2018. (AIP Conference Proceedings).
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Kadry, S, Alferov, G, Ivanov, G & Sharlay, A 2018, About Stability of Selector Linear Differential Inclusions. in TE Simos, Z Kalogiratou, T Monovasilis, TE Simos & TE Simos (eds), INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2018 (ICCMSE-2018). vol. 2040, 150013, AIP Conference Proceedings, vol. 2040, American Institute of Physics, Thessaloniki, 14/03/18. https://doi.org/10.1063/1.5079216

About Stability of Selector Linear Differential Inclusions. / Kadry, Seifedine; Alferov, Gennady; Ivanov, Gennady; Sharlay, Artem.

INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2018 (ICCMSE-2018). ed. / Theodore E. Simos; Zacharoula Kalogiratou; Theodore Monovasilis; Theodore E. Simos; Theodore E. Simos. Vol. 2040 American Institute of Physics, 2018. 150013 (AIP Conference Proceedings; Vol. 2040).

Research output

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AU - Ivanov, Gennady

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N2 - In this paper the problems of stability and asymptotic stability conditions for the motion of mechanical systems with holonomic and non-holonomic constraints are under consideration. Stability analysis for the systems of differential equations is given in term of the second Lyapunov's method. With the use of the set-theoretic approach the necessary and sufficient conditions for stability and asymptotic stability of zero solution of the considered system are formulated.

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Kadry S, Alferov G, Ivanov G, Sharlay A. About Stability of Selector Linear Differential Inclusions. In Simos TE, Kalogiratou Z, Monovasilis T, Simos TE, Simos TE, editors, INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2018 (ICCMSE-2018). Vol. 2040. American Institute of Physics. 2018. 150013. (AIP Conference Proceedings). https://doi.org/10.1063/1.5079216