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Stability analysis of Lur’e indirect control systems with time delay and multiple nonlinearities. / Александров, Александр Юрьевич; Андриянова, Наталья Романовна.

In: International Journal of Dynamics and Control, Vol. 11, No. 6, 12.2023, p. 3074 - 3083.

Research output: Contribution to journal › Article › peer-review

Harvard

Александров, АЮ & Андриянова, НР 2023, 'Stability analysis of Lur’e indirect control systems with time delay and multiple nonlinearities', International Journal of Dynamics and Control, vol. 11, no. 6, pp. 3074 - 3083. https://doi.org/10.1007/s40435-023-01174-w

APA

Александров, А. Ю., & Андриянова, Н. Р. (2023). Stability analysis of Lur’e indirect control systems with time delay and multiple nonlinearities. International Journal of Dynamics and Control, 11(6), 3074 - 3083. https://doi.org/10.1007/s40435-023-01174-w

Vancouver

Александров АЮ, Андриянова НР. Stability analysis of Lur’e indirect control systems with time delay and multiple nonlinearities. International Journal of Dynamics and Control. 2023 Dec;11(6):3074 - 3083. https://doi.org/10.1007/s40435-023-01174-w

Author

Александров, Александр Юрьевич ; Андриянова, Наталья Романовна. / Stability analysis of Lur’e indirect control systems with time delay and multiple nonlinearities. In: International Journal of Dynamics and Control. 2023 ; Vol. 11, No. 6. pp. 3074 - 3083.

BibTeX

@article{2388910736394d489092925252754a87,
title = "Stability analysis of Lur{\textquoteright}e indirect control systems with time delay and multiple nonlinearities",
abstract = "In this paper, Lur{\textquoteright}e indirect control systems with sector-type nonlinearities and a constant delay in the feedback law are studied. With the aid of an original construction of complete-type Lyapunov–Krasovskii functional, new conditions of the delay-independent asymptotic stability for the zero solutions of the considered systems are obtained. Furthermore, estimates for convergence rate of solutions are derived and stability robustness is analyzed. Finally, using a modification of the averaging approach, conditions are found under which time-varying perturbations with zero mean values do not disturb the stability of the zero solutions. Results of numerical simulations are presented confirming the theoretical conclusions.",
keywords = "Asymptotic stability, Averaging method, Complete-type Lyapunov–Krasovskii functional, Delay, Lur{\textquoteright}e indirect control system, Sector nonlinearity",
author = "Александров, {Александр Юрьевич} and Андриянова, {Наталья Романовна}",
year = "2023",
month = dec,
doi = "10.1007/s40435-023-01174-w",
language = "English",
volume = "11",
pages = "3074 -- 3083",
journal = "International Journal of Dynamics and Control",
issn = "2195-268X",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Stability analysis of Lur’e indirect control systems with time delay and multiple nonlinearities

AU - Александров, Александр Юрьевич

AU - Андриянова, Наталья Романовна

PY - 2023/12

Y1 - 2023/12

N2 - In this paper, Lur’e indirect control systems with sector-type nonlinearities and a constant delay in the feedback law are studied. With the aid of an original construction of complete-type Lyapunov–Krasovskii functional, new conditions of the delay-independent asymptotic stability for the zero solutions of the considered systems are obtained. Furthermore, estimates for convergence rate of solutions are derived and stability robustness is analyzed. Finally, using a modification of the averaging approach, conditions are found under which time-varying perturbations with zero mean values do not disturb the stability of the zero solutions. Results of numerical simulations are presented confirming the theoretical conclusions.

AB - In this paper, Lur’e indirect control systems with sector-type nonlinearities and a constant delay in the feedback law are studied. With the aid of an original construction of complete-type Lyapunov–Krasovskii functional, new conditions of the delay-independent asymptotic stability for the zero solutions of the considered systems are obtained. Furthermore, estimates for convergence rate of solutions are derived and stability robustness is analyzed. Finally, using a modification of the averaging approach, conditions are found under which time-varying perturbations with zero mean values do not disturb the stability of the zero solutions. Results of numerical simulations are presented confirming the theoretical conclusions.

KW - Asymptotic stability

KW - Averaging method

KW - Complete-type Lyapunov–Krasovskii functional

KW - Delay

KW - Lur’e indirect control system

KW - Sector nonlinearity

UR - https://link.springer.com/article/10.1007/s40435-023-01174-w#citeas

UR - https://www.mendeley.com/catalogue/076e5344-b0a5-3175-a88d-de271c29147b/

U2 - 10.1007/s40435-023-01174-w

DO - 10.1007/s40435-023-01174-w

M3 - Article

VL - 11

SP - 3074

EP - 3083

JO - International Journal of Dynamics and Control

JF - International Journal of Dynamics and Control

SN - 2195-268X

IS - 6

ER -

ID: 111159895