Construction of Lyapunov-Krasovskii functionals for a class of nonlinear difference systems with delay

Alexander Aleksandrov, Yangzhou Chen

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

Nonlinear systems of difference equations with delay and nonlinearities of a sector type are studied. New constructions of Lyapunov-Krasovskii functionals are proposed for such sys-tems. With the aid of these functionals, conditions are obtained under which solutions of the considered systems are uniformly ultimately bounded for any value of delay. An example is given to demonstrate the effectiveness of the proposed approaches.

Original languageEnglish
Title of host publicationProceedings of 2018 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiys Conference), STAB 2018
EditorsValentin N. Tkhai
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1-4
Number of pages4
ISBN (Electronic)9781538645567
DOIs
StatePublished - 6 Jul 2018
Event14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2018 - Moscow, Russian Federation
Duration: 30 May 20181 Jun 2018

Conference

Conference14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2018
CountryRussian Federation
CityMoscow
Period30/05/181/06/18

Scopus subject areas

  • Mechanical Engineering
  • Control and Optimization

Cite this

Aleksandrov, A., & Chen, Y. (2018). Construction of Lyapunov-Krasovskii functionals for a class of nonlinear difference systems with delay. In V. N. Tkhai (Ed.), Proceedings of 2018 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiys Conference), STAB 2018 (pp. 1-4). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/STAB.2018.8408336
Aleksandrov, Alexander ; Chen, Yangzhou. / Construction of Lyapunov-Krasovskii functionals for a class of nonlinear difference systems with delay. Proceedings of 2018 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiys Conference), STAB 2018. editor / Valentin N. Tkhai. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 1-4
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abstract = "Nonlinear systems of difference equations with delay and nonlinearities of a sector type are studied. New constructions of Lyapunov-Krasovskii functionals are proposed for such sys-tems. With the aid of these functionals, conditions are obtained under which solutions of the considered systems are uniformly ultimately bounded for any value of delay. An example is given to demonstrate the effectiveness of the proposed approaches.",
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Aleksandrov, A & Chen, Y 2018, Construction of Lyapunov-Krasovskii functionals for a class of nonlinear difference systems with delay. in VN Tkhai (ed.), Proceedings of 2018 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiys Conference), STAB 2018. Institute of Electrical and Electronics Engineers Inc., pp. 1-4, 14th International Conference "Stability and Oscillations of Nonlinear Control Systems" (Pyatnitskiy's Conference), STAB 2018, Moscow, Russian Federation, 30/05/18. https://doi.org/10.1109/STAB.2018.8408336

Construction of Lyapunov-Krasovskii functionals for a class of nonlinear difference systems with delay. / Aleksandrov, Alexander; Chen, Yangzhou.

Proceedings of 2018 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiys Conference), STAB 2018. ed. / Valentin N. Tkhai. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1-4.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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N2 - Nonlinear systems of difference equations with delay and nonlinearities of a sector type are studied. New constructions of Lyapunov-Krasovskii functionals are proposed for such sys-tems. With the aid of these functionals, conditions are obtained under which solutions of the considered systems are uniformly ultimately bounded for any value of delay. An example is given to demonstrate the effectiveness of the proposed approaches.

AB - Nonlinear systems of difference equations with delay and nonlinearities of a sector type are studied. New constructions of Lyapunov-Krasovskii functionals are proposed for such sys-tems. With the aid of these functionals, conditions are obtained under which solutions of the considered systems are uniformly ultimately bounded for any value of delay. An example is given to demonstrate the effectiveness of the proposed approaches.

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Aleksandrov A, Chen Y. Construction of Lyapunov-Krasovskii functionals for a class of nonlinear difference systems with delay. In Tkhai VN, editor, Proceedings of 2018 14th International Conference Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiys Conference), STAB 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 1-4 https://doi.org/10.1109/STAB.2018.8408336