Finite-time Stability of Fractional-order Complex-valued Neural Networks with Time Delays
The analysis of finite-time stability for a class of fractional-order complex valued neural networks with delays is considered in this paper. Utilizing Gronwall inequality, Cauchy-Schiwartz inequality and inequality scaling techniques, some sufficient conditions for guaranteeing the finite-time stab...
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Veröffentlicht in: | Neural processing letters 2017-10, Vol.46 (2), p.561-580 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | The analysis of finite-time stability for a class of fractional-order complex valued neural networks with delays is considered in this paper. Utilizing Gronwall inequality, Cauchy-Schiwartz inequality and inequality scaling techniques, some sufficient conditions for guaranteeing the finite-time stability of the system are derived respectively under two cases with order
1
/
2
≤
α
<
1
and
0
<
α
<
1
/
2
, in which different inequality scaling strategies are employed. Two numerical examples are also proposed to demonstrate the validity and feasibility of the obtained results. |
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ISSN: | 1370-4621 1573-773X |
DOI: | 10.1007/s11063-017-9604-8 |