Novel fixed-time stabilization of quaternion-valued BAMNNs with disturbances and time-varying coefficients
| Autor: | Jurgen Kurths, Ruoyu Wei, Jinde Cao |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Lyapunov function
Adaptive control quaternion General Mathematics lcsh:Mathematics bidirectional associative memory neural networks (bamnns) adaptive control lcsh:QA1-939 time-varying coefficients symbols.namesake Fixed time Control theory symbols Decomposition method (constraint satisfaction) fixed-time stabilization Control (linguistics) Quaternion Control methods Mathematics |
| Zdroj: | AIMS Mathematics, Vol 5, Iss 4, Pp 3089-3110 (2020) |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2020199/fulltext.html |
| Popis: | In this paper, with the quaternion number and time-varying coefficients introduced into traditional BAMNNs, the model of quaternion-valued BAMNNs are formulated. For the first time, fixed-time stabilization of time-varying quaternion-valued BAMNNs is investigated. A novel fixedtime control method is adopted, in which the choice of the Lyapunov function is more general than in most previous results. To cope with the noncommutativity of the quaternion multiplication, two different fixed-time control methods are provided, a decomposition method and a non-decomposition method. Furthermore, to reduce the control strength and improve control efficiency, an adaptive fixed-time control strategy is proposed. Lastly, numerical examples are presented to demonstrate the effectiveness of the theoretical results. |
| Databáze: | OpenAIRE |
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