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
Hauptverfasser: Ding, Xiaoshuai, Cao, Jinde, Zhao, Xuan, Alsaadi, Fuad E.
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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.
ISSN:1370-4621
1573-773X
DOI:10.1007/s11063-017-9604-8