Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delays
This article focuses on the global exponential synchronization (GES) for second-order state-dependent switched quaternion-valued neural networks (SOSDSQVNNs) with neutral-type and mixed delays. By proposing some new Lyapunov–Krasovskii functionals (LKFs) and adopting some inequalities, several new...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2022-04-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/27326 |
| _version_ | 1818255266138816512 |
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| author | Tingting Zhang Jigui Jian |
| author_facet | Tingting Zhang Jigui Jian |
| author_sort | Tingting Zhang |
| collection | DOAJ |
| description |
This article focuses on the global exponential synchronization (GES) for second-order state-dependent switched quaternion-valued neural networks (SOSDSQVNNs) with neutral-type and mixed delays. By proposing some new Lyapunov–Krasovskii functionals (LKFs) and adopting some inequalities, several new criteria in the shape of algebraic inequalities are proposed to ensure the GES for the concerned system by using hybrid switched controllers (HSCs). Different from the common reducing order and separation ways, this article presents some new LKFs to straightway discuss the GES of the concerned system based on non-reduction order and nonseparation strategies. Ultimately, an example is provided to validate the effectiveness of the theoretical outcomes.
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| first_indexed | 2024-12-12T17:09:07Z |
| format | Article |
| id | doaj.art-52a3afea995c4645aba94f0a6a0b3566 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-12T17:09:07Z |
| publishDate | 2022-04-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-52a3afea995c4645aba94f0a6a0b35662022-12-22T00:17:55ZengVilnius University PressNonlinear Analysis1392-51132335-89632022-04-012710.15388/namc.2022.27.27326Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delaysTingting Zhang0Jigui Jian1China Three Gorges UniversityChina Three Gorges University This article focuses on the global exponential synchronization (GES) for second-order state-dependent switched quaternion-valued neural networks (SOSDSQVNNs) with neutral-type and mixed delays. By proposing some new Lyapunov–Krasovskii functionals (LKFs) and adopting some inequalities, several new criteria in the shape of algebraic inequalities are proposed to ensure the GES for the concerned system by using hybrid switched controllers (HSCs). Different from the common reducing order and separation ways, this article presents some new LKFs to straightway discuss the GES of the concerned system based on non-reduction order and nonseparation strategies. Ultimately, an example is provided to validate the effectiveness of the theoretical outcomes. https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/27326quaternion-valued neural networksecond-order modelexponential synchronizationmixed delayhybrid switched control |
| spellingShingle | Tingting Zhang Jigui Jian Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delays Nonlinear Analysis quaternion-valued neural network second-order model exponential synchronization mixed delay hybrid switched control |
| title | Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delays |
| title_full | Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delays |
| title_fullStr | Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delays |
| title_full_unstemmed | Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delays |
| title_short | Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delays |
| title_sort | exponential synchronization for second order switched quaternion valued neural networks with neutral type and mixed time varying delays |
| topic | quaternion-valued neural network second-order model exponential synchronization mixed delay hybrid switched control |
| url | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/27326 |
| work_keys_str_mv | AT tingtingzhang exponentialsynchronizationforsecondorderswitchedquaternionvaluedneuralnetworkswithneutraltypeandmixedtimevaryingdelays AT jiguijian exponentialsynchronizationforsecondorderswitchedquaternionvaluedneuralnetworkswithneutraltypeandmixedtimevaryingdelays |