Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying Delays
This paper studies fractional-order neural networks with neutral-type delay, leakage delay, and time-varying delays. A sufficient condition which ensures the finite-time synchronization of these networks based on a state feedback control scheme is deduced using the generalized Gronwall–Bellman inequ...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/7/1146 |
| _version_ | 1797562570083663872 |
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| author | Călin-Adrian Popa Eva Kaslik |
| author_facet | Călin-Adrian Popa Eva Kaslik |
| author_sort | Călin-Adrian Popa |
| collection | DOAJ |
| description | This paper studies fractional-order neural networks with neutral-type delay, leakage delay, and time-varying delays. A sufficient condition which ensures the finite-time synchronization of these networks based on a state feedback control scheme is deduced using the generalized Gronwall–Bellman inequality. Then, a different state feedback control scheme is employed to realize the finite-time Mittag–Leffler synchronization of these networks by using the fractional-order extension of the Lyapunov direct method for Mittag–Leffler stability. Two numerical examples illustrate the feasibility and the effectiveness of the deduced sufficient criteria. |
| first_indexed | 2024-03-10T18:31:03Z |
| format | Article |
| id | doaj.art-ea8d414f53264c50bf23af5c88a29733 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T18:31:03Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ea8d414f53264c50bf23af5c88a297332023-11-20T06:38:45ZengMDPI AGMathematics2227-73902020-07-0187114610.3390/math8071146Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying DelaysCălin-Adrian Popa0Eva Kaslik1Department of Mathematics, West University of Timişoara, Blvd. V. Pârvan, No. 4, 300223 Timişoara, RomaniaDepartment of Computer Science, West University of Timişoara, Blvd. V. Pârvan, No. 4, 300223 Timişoara, RomaniaThis paper studies fractional-order neural networks with neutral-type delay, leakage delay, and time-varying delays. A sufficient condition which ensures the finite-time synchronization of these networks based on a state feedback control scheme is deduced using the generalized Gronwall–Bellman inequality. Then, a different state feedback control scheme is employed to realize the finite-time Mittag–Leffler synchronization of these networks by using the fractional-order extension of the Lyapunov direct method for Mittag–Leffler stability. Two numerical examples illustrate the feasibility and the effectiveness of the deduced sufficient criteria.https://www.mdpi.com/2227-7390/8/7/1146fractional-order neural networksfinite-time synchronizationneutral-type neural networksleakage delayMittag–Leffler function |
| spellingShingle | Călin-Adrian Popa Eva Kaslik Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying Delays Mathematics fractional-order neural networks finite-time synchronization neutral-type neural networks leakage delay Mittag–Leffler function |
| title | Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying Delays |
| title_full | Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying Delays |
| title_fullStr | Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying Delays |
| title_full_unstemmed | Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying Delays |
| title_short | Finite-Time Mittag–Leffler Synchronization of Neutral-Type Fractional-Order Neural Networks with Leakage Delay and Time-Varying Delays |
| title_sort | finite time mittag leffler synchronization of neutral type fractional order neural networks with leakage delay and time varying delays |
| topic | fractional-order neural networks finite-time synchronization neutral-type neural networks leakage delay Mittag–Leffler function |
| url | https://www.mdpi.com/2227-7390/8/7/1146 |
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