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Application of the Asymptotic Observers for the Stabilization of the Time-Delay Linear Equations. / Sevostyanov, Ruslan; Shayakhmetova, Liliya.

Convergent Cognitive Information Technologies - 3rd International Conference, Convergent 2018, Revised Selected Papers. ed. / Vladimir Sukhomlin; Elena Zubareva. Springer Nature, 2020. p. 223-230 (Communications in Computer and Information Science; Vol. 1140 CCIS).

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

Harvard

Sevostyanov, R & Shayakhmetova, L 2020, Application of the Asymptotic Observers for the Stabilization of the Time-Delay Linear Equations. in V Sukhomlin & E Zubareva (eds), Convergent Cognitive Information Technologies - 3rd International Conference, Convergent 2018, Revised Selected Papers. Communications in Computer and Information Science, vol. 1140 CCIS, Springer Nature, pp. 223-230, 3rd International Scientific Conference on Convergent Cognitive Information Technologies, Convergent 2018, Moscow, Russian Federation, 29/11/18. https://doi.org/10.1007/978-3-030-37436-5_20

APA

Sevostyanov, R., & Shayakhmetova, L. (2020). Application of the Asymptotic Observers for the Stabilization of the Time-Delay Linear Equations. In V. Sukhomlin, & E. Zubareva (Eds.), Convergent Cognitive Information Technologies - 3rd International Conference, Convergent 2018, Revised Selected Papers (pp. 223-230). (Communications in Computer and Information Science; Vol. 1140 CCIS). Springer Nature. https://doi.org/10.1007/978-3-030-37436-5_20

Vancouver

Sevostyanov R, Shayakhmetova L. Application of the Asymptotic Observers for the Stabilization of the Time-Delay Linear Equations. In Sukhomlin V, Zubareva E, editors, Convergent Cognitive Information Technologies - 3rd International Conference, Convergent 2018, Revised Selected Papers. Springer Nature. 2020. p. 223-230. (Communications in Computer and Information Science). https://doi.org/10.1007/978-3-030-37436-5_20

Author

Sevostyanov, Ruslan ; Shayakhmetova, Liliya. / Application of the Asymptotic Observers for the Stabilization of the Time-Delay Linear Equations. Convergent Cognitive Information Technologies - 3rd International Conference, Convergent 2018, Revised Selected Papers. editor / Vladimir Sukhomlin ; Elena Zubareva. Springer Nature, 2020. pp. 223-230 (Communications in Computer and Information Science).

BibTeX

@inproceedings{3098d9ff78bb488fb85ae5c1d0a9d2e3,
title = "Application of the Asymptotic Observers for the Stabilization of the Time-Delay Linear Equations",
abstract = "Stabilization of the time-delay linear systems by using the static feedback is possible only for the limited value of the time delay in the control channel. In case of the exceeding such limit the further stabilization is impossible. However, the delay limit could be increased by using the number of asymptotic observers of the special kind. The basic idea lies in the equivalence of any realization of the system with certain transfer function which leads to the possibility of distribution of the delay by the several observers. Each observer has lesser delay value so overall limit is decreased. Theoretically, if there are enough observers it is possible to stabilize the system with arbitrary big delay. Moreover, such approach can improve dynamical characteristics in cases where delay value is small enough for the system to be stabilizable. The paper describes the structure and the synthesis method for such observers. The results of the experiments with the computer model are given for the demonstration of the derived regulator{\textquoteright}s efficiency.",
keywords = "Asymptotic observer, Control theory, Delay, Feedback, Linear systems, Stabilization",
author = "Ruslan Sevostyanov and Liliya Shayakhmetova",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2020. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 3rd International Scientific Conference on Convergent Cognitive Information Technologies, Convergent 2018 ; Conference date: 29-11-2018 Through 02-12-2018",
year = "2020",
doi = "10.1007/978-3-030-37436-5_20",
language = "English",
isbn = "9783030374358",
series = "Communications in Computer and Information Science",
publisher = "Springer Nature",
pages = "223--230",
editor = "Vladimir Sukhomlin and Elena Zubareva",
booktitle = "Convergent Cognitive Information Technologies - 3rd International Conference, Convergent 2018, Revised Selected Papers",
address = "Germany",

}

RIS

TY - GEN

T1 - Application of the Asymptotic Observers for the Stabilization of the Time-Delay Linear Equations

AU - Sevostyanov, Ruslan

AU - Shayakhmetova, Liliya

N1 - Publisher Copyright: © Springer Nature Switzerland AG 2020. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020

Y1 - 2020

N2 - Stabilization of the time-delay linear systems by using the static feedback is possible only for the limited value of the time delay in the control channel. In case of the exceeding such limit the further stabilization is impossible. However, the delay limit could be increased by using the number of asymptotic observers of the special kind. The basic idea lies in the equivalence of any realization of the system with certain transfer function which leads to the possibility of distribution of the delay by the several observers. Each observer has lesser delay value so overall limit is decreased. Theoretically, if there are enough observers it is possible to stabilize the system with arbitrary big delay. Moreover, such approach can improve dynamical characteristics in cases where delay value is small enough for the system to be stabilizable. The paper describes the structure and the synthesis method for such observers. The results of the experiments with the computer model are given for the demonstration of the derived regulator’s efficiency.

AB - Stabilization of the time-delay linear systems by using the static feedback is possible only for the limited value of the time delay in the control channel. In case of the exceeding such limit the further stabilization is impossible. However, the delay limit could be increased by using the number of asymptotic observers of the special kind. The basic idea lies in the equivalence of any realization of the system with certain transfer function which leads to the possibility of distribution of the delay by the several observers. Each observer has lesser delay value so overall limit is decreased. Theoretically, if there are enough observers it is possible to stabilize the system with arbitrary big delay. Moreover, such approach can improve dynamical characteristics in cases where delay value is small enough for the system to be stabilizable. The paper describes the structure and the synthesis method for such observers. The results of the experiments with the computer model are given for the demonstration of the derived regulator’s efficiency.

KW - Asymptotic observer

KW - Control theory

KW - Delay

KW - Feedback

KW - Linear systems

KW - Stabilization

UR - http://www.scopus.com/inward/record.url?scp=85081049878&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/5a985d71-a85f-3fe5-8b1c-04ad0133454b/

U2 - 10.1007/978-3-030-37436-5_20

DO - 10.1007/978-3-030-37436-5_20

M3 - Conference contribution

AN - SCOPUS:85081049878

SN - 9783030374358

T3 - Communications in Computer and Information Science

SP - 223

EP - 230

BT - Convergent Cognitive Information Technologies - 3rd International Conference, Convergent 2018, Revised Selected Papers

A2 - Sukhomlin, Vladimir

A2 - Zubareva, Elena

PB - Springer Nature

T2 - 3rd International Scientific Conference on Convergent Cognitive Information Technologies, Convergent 2018

Y2 - 29 November 2018 through 2 December 2018

ER -

ID: 70873058