Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control
We show that every subnetwork of a class of coupled fractional-order neural networks consisting of N identical subnetworks can have r+1n locally Mittag-Leffler stable equilibria. In addition, we give some algebraic criteria for ascertaining the static multisynchronization of coupled fractional-order...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/9323172 |
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| author | Jin-E Zhang |
| author_facet | Jin-E Zhang |
| author_sort | Jin-E Zhang |
| collection | DOAJ |
| description | We show that every subnetwork of a class of coupled fractional-order neural networks consisting of N identical subnetworks can have r+1n locally Mittag-Leffler stable equilibria. In addition, we give some algebraic criteria for ascertaining the static multisynchronization of coupled fractional-order neural networks with fixed and switching topologies, respectively. The obtained theoretical results characterize multisynchronization feature for multistable control systems. Two numerical examples are given to verify the superiority of the proposed results. |
| format | Article |
| id | doaj-art-bfd5f63161db44a7b9443d847f242385 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-bfd5f63161db44a7b9443d847f2423852025-08-20T02:19:26ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/93231729323172Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive ControlJin-E Zhang0Hubei Normal University, Hubei 435002, ChinaWe show that every subnetwork of a class of coupled fractional-order neural networks consisting of N identical subnetworks can have r+1n locally Mittag-Leffler stable equilibria. In addition, we give some algebraic criteria for ascertaining the static multisynchronization of coupled fractional-order neural networks with fixed and switching topologies, respectively. The obtained theoretical results characterize multisynchronization feature for multistable control systems. Two numerical examples are given to verify the superiority of the proposed results.http://dx.doi.org/10.1155/2017/9323172 |
| spellingShingle | Jin-E Zhang Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control Complexity |
| title | Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control |
| title_full | Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control |
| title_fullStr | Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control |
| title_full_unstemmed | Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control |
| title_short | Multisynchronization for Coupled Multistable Fractional-Order Neural Networks via Impulsive Control |
| title_sort | multisynchronization for coupled multistable fractional order neural networks via impulsive control |
| url | http://dx.doi.org/10.1155/2017/9323172 |
| work_keys_str_mv | AT jinezhang multisynchronizationforcoupledmultistablefractionalorderneuralnetworksviaimpulsivecontrol |