Synchronization criteria for delayed Lur'e systems and randomly occurring sampled-data controller gain

S. H. Lee; M. J. Park; O. M. Kwon

doi:10.1016/j.cnsns.2018.08.003

Synchronization criteria for delayed Lur'e systems and randomly occurring sampled-data controller gain

S. H. Lee, M. J. Park, O. M. Kwon

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

22 Citations (Scopus)

Abstract

In this paper, the synchronization problem for delayed Lur'e systems with sampled-data control is investigated. To reflect noises and perturbations of a designed controller gain, Bernoulli sequence and random variables are applied to sampled-data scheme. By constructing some novel Lyapunov-Krasovskii functionals and utilizing some mathematical techniques such as Wirtinger-based integral inequalities, a sampled-data synchronization method for delayed Lur'e systems under a sampled-data control with randomly occurring perturbations is proposed as the framework of linear matrix inequalities. As a special case of the first result, a sampled-data synchronization criterion without considering randomly occurring perturbations is derived. Finally, via three numerical examples, the superiority and validity of the proposed results will be verified through comparing with the existing results.

Original language	English
Pages (from-to)	203-219
Number of pages	17
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	68
DOIs	https://doi.org/10.1016/j.cnsns.2018.08.003
Publication status	Published - Mar 2019

Bibliographical note

Publisher Copyright:
© 2018 Elsevier B.V.

Keywords

Lur'E system
Lyapunov method
Sampled-data control
Stochastic parameter uncertainties
Synchronization

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10.1016/j.cnsns.2018.08.003

Cite this

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abstract = "In this paper, the synchronization problem for delayed Lur'e systems with sampled-data control is investigated. To reflect noises and perturbations of a designed controller gain, Bernoulli sequence and random variables are applied to sampled-data scheme. By constructing some novel Lyapunov-Krasovskii functionals and utilizing some mathematical techniques such as Wirtinger-based integral inequalities, a sampled-data synchronization method for delayed Lur'e systems under a sampled-data control with randomly occurring perturbations is proposed as the framework of linear matrix inequalities. As a special case of the first result, a sampled-data synchronization criterion without considering randomly occurring perturbations is derived. Finally, via three numerical examples, the superiority and validity of the proposed results will be verified through comparing with the existing results.",

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AU - Lee, S. H.

AU - Park, M. J.

AU - Kwon, O. M.

PY - 2019/3

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N2 - In this paper, the synchronization problem for delayed Lur'e systems with sampled-data control is investigated. To reflect noises and perturbations of a designed controller gain, Bernoulli sequence and random variables are applied to sampled-data scheme. By constructing some novel Lyapunov-Krasovskii functionals and utilizing some mathematical techniques such as Wirtinger-based integral inequalities, a sampled-data synchronization method for delayed Lur'e systems under a sampled-data control with randomly occurring perturbations is proposed as the framework of linear matrix inequalities. As a special case of the first result, a sampled-data synchronization criterion without considering randomly occurring perturbations is derived. Finally, via three numerical examples, the superiority and validity of the proposed results will be verified through comparing with the existing results.

AB - In this paper, the synchronization problem for delayed Lur'e systems with sampled-data control is investigated. To reflect noises and perturbations of a designed controller gain, Bernoulli sequence and random variables are applied to sampled-data scheme. By constructing some novel Lyapunov-Krasovskii functionals and utilizing some mathematical techniques such as Wirtinger-based integral inequalities, a sampled-data synchronization method for delayed Lur'e systems under a sampled-data control with randomly occurring perturbations is proposed as the framework of linear matrix inequalities. As a special case of the first result, a sampled-data synchronization criterion without considering randomly occurring perturbations is derived. Finally, via three numerical examples, the superiority and validity of the proposed results will be verified through comparing with the existing results.

KW - Lur'E system

KW - Lyapunov method

KW - Sampled-data control

KW - Stochastic parameter uncertainties

KW - Synchronization

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JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

ER -

Synchronization criteria for delayed Lur'e systems and randomly occurring sampled-data controller gain

Abstract

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Keywords

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