Centralized and decentralized controller design for synchronization of coupled delayed inertial neural networks via reduced and non-reduced orders

S. Shanmugasundaram; Ardak Kashkynbayev; K. Udhayakumar; Rajan Rakkiyappan

doi:10.1016/j.neucom.2021.10.053

Centralized and decentralized controller design for synchronization of coupled delayed inertial neural networks via reduced and non-reduced orders

S. Shanmugasundaram, Ardak Kashkynbayev, K. Udhayakumar, Rajan Rakkiyappan

Bharathiar University

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

12 Citations (Scopus)

Abstract

In this paper synchronization of coupled inertial neural networks (INNs) with non-differentiable time varying delays is considered. The adaptive synchronization is analyzed with linearly coupled INNs through centralized and decentralized controller techniques. Initially the INNs is taken with reduced order and by using adaptive centralized and decentralized control, the synchronization criterion is obtained in terms of matrix inequalities. Furthermore without using the order reduction, INNs has to taken as it is and studied adaptive synchronization by constructing suitable Lyapunov functional. Finally, simulation results are presented to illustrate the obtained theoretical findings.

Original language	English
Pages (from-to)	91-104
Number of pages	14
Journal	Neurocomputing
Volume	469
DOIs	https://doi.org/10.1016/j.neucom.2021.10.053
Publication status	Published - Jan 16 2022

Funding

AK was supported in part by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant “Dynamical Analysis and Synchronization of Complex Neural Networks with Its Applications”).

Keywords

Centralized adaptive control
Decentralized adaptive control
Inertial neural network
Synchronization

ASJC Scopus subject areas

Computer Science Applications
Cognitive Neuroscience
Artificial Intelligence

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10.1016/j.neucom.2021.10.053

Cite this

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title = "Centralized and decentralized controller design for synchronization of coupled delayed inertial neural networks via reduced and non-reduced orders",

abstract = "In this paper synchronization of coupled inertial neural networks (INNs) with non-differentiable time varying delays is considered. The adaptive synchronization is analyzed with linearly coupled INNs through centralized and decentralized controller techniques. Initially the INNs is taken with reduced order and by using adaptive centralized and decentralized control, the synchronization criterion is obtained in terms of matrix inequalities. Furthermore without using the order reduction, INNs has to taken as it is and studied adaptive synchronization by constructing suitable Lyapunov functional. Finally, simulation results are presented to illustrate the obtained theoretical findings.",

keywords = "Centralized adaptive control, Decentralized adaptive control, Inertial neural network, Synchronization",

author = "S. Shanmugasundaram and Ardak Kashkynbayev and K. Udhayakumar and Rajan Rakkiyappan",

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AU - Shanmugasundaram, S.

AU - Kashkynbayev, Ardak

AU - Udhayakumar, K.

AU - Rakkiyappan, Rajan

N1 - Funding Information: AK was supported in part by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant “Dynamical Analysis and Synchronization of Complex Neural Networks with Its Applications”). Publisher Copyright: © 2021 Elsevier B.V.

PY - 2022/1/16

Y1 - 2022/1/16

N2 - In this paper synchronization of coupled inertial neural networks (INNs) with non-differentiable time varying delays is considered. The adaptive synchronization is analyzed with linearly coupled INNs through centralized and decentralized controller techniques. Initially the INNs is taken with reduced order and by using adaptive centralized and decentralized control, the synchronization criterion is obtained in terms of matrix inequalities. Furthermore without using the order reduction, INNs has to taken as it is and studied adaptive synchronization by constructing suitable Lyapunov functional. Finally, simulation results are presented to illustrate the obtained theoretical findings.

AB - In this paper synchronization of coupled inertial neural networks (INNs) with non-differentiable time varying delays is considered. The adaptive synchronization is analyzed with linearly coupled INNs through centralized and decentralized controller techniques. Initially the INNs is taken with reduced order and by using adaptive centralized and decentralized control, the synchronization criterion is obtained in terms of matrix inequalities. Furthermore without using the order reduction, INNs has to taken as it is and studied adaptive synchronization by constructing suitable Lyapunov functional. Finally, simulation results are presented to illustrate the obtained theoretical findings.

KW - Centralized adaptive control

KW - Decentralized adaptive control

KW - Inertial neural network

KW - Synchronization

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JO - Neurocomputing

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Centralized and decentralized controller design for synchronization of coupled delayed inertial neural networks via reduced and non-reduced orders

Abstract

Funding

Keywords

ASJC Scopus subject areas

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