Finite-time passivity of neutral-type complex-valued neural networks with time-varying delays

Haydar Akca; Chaouki Aouiti; Farid Touati; Changjin Xu; Haydar Akca; Chaouki Aouiti; Farid Touati; Changjin Xu

doi:10.3934/mbe.2024268

Mathematical Biosciences and Engineering

2024, Volume 21, Issue 5: 6097-6122. doi: 10.3934/mbe.2024268

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Research article

Finite-time passivity of neutral-type complex-valued neural networks with time-varying delays

Haydar Akca ^{1
,
,},
Chaouki Aouiti ^{2
,
,},
Farid Touati ^{2
,
,},
Changjin Xu ^{3
,
,}

1.
Abu Dhabi University, College of Arts and Sciences, Department of Applied Sciences and Mathematics, Abu Dhabi, UAE
2.
University Carthage, Faculty of Sciences of Bizerta, Department of Mathematics, GAMA Laboratory LR21ES10, BP W, 7021 Zarzouna, Bizerta, Tunisia
3.
Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, China

Received: 04 December 2023 Revised: 21 January 2024 Accepted: 05 February 2024 Published: 28 May 2024

In this work, we investigated the finite-time passivity problem of neutral-type complex-valued neural networks with time-varying delays. On the basis of the Lyapunov functional, Wirtinger-type inequality technique, and linear matrix inequalities (LMIs) approach, new sufficient conditions were derived to ensure the finite-time boundedness (FTB) and finite-time passivity (FTP) of the concerned network model. At last, two numerical examples with simulations were presented to demonstrate the validity of our criteria.
- complex-valued neural networks,
- finite-time boundedness,
- finite-time passivity,
- neutral-type delayes,
- time-varying delays
Citation: Haydar Akca, Chaouki Aouiti, Farid Touati, Changjin Xu. Finite-time passivity of neutral-type complex-valued neural networks with time-varying delays[J]. Mathematical Biosciences and Engineering, 2024, 21(5): 6097-6122. doi: 10.3934/mbe.2024268

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Abstract

In this work, we investigated the finite-time passivity problem of neutral-type complex-valued neural networks with time-varying delays. On the basis of the Lyapunov functional, Wirtinger-type inequality technique, and linear matrix inequalities (LMIs) approach, new sufficient conditions were derived to ensure the finite-time boundedness (FTB) and finite-time passivity (FTP) of the concerned network model. At last, two numerical examples with simulations were presented to demonstrate the validity of our criteria.

References

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