The Passivity of Uncertain Fractional-Order Neural Networks with Time-Varying Delays

In this paper, we study the passive problem of uncertain fractional-order neural networks (UFONNs) with time-varying delays. First, we give a sufficient condition for the asymptotic stability of UFONNs with bounded time-varying delays by using the fractional-order Razumikhin theorem. Secondly, accor...

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Bibliographic Details
Published inFractal and fractional Vol. 6; no. 7; p. 375
Main Authors Xu, Song, Liu, Heng, Han, Zhimin
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.07.2022
Subjects
asymptotically stable
Calculus
Control theory
Engineering
Linear matrix inequalities
Mathematical analysis
Mathematical functions
Neural networks
Passivity
passivity analysis
Polynomials
Signal processing
Stability criteria
Systems stability
time-varying delays
uncertain fractional-order neural network
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ISSN2504-3110
2504-3110
DOI10.3390/fractalfract6070375

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Summary:In this paper, we study the passive problem of uncertain fractional-order neural networks (UFONNs) with time-varying delays. First, we give a sufficient condition for the asymptotic stability of UFONNs with bounded time-varying delays by using the fractional-order Razumikhin theorem. Secondly, according to the above stability criteria and some properties of fractional-order calculus, a delay-dependent condition that can guarantee the passivity of UFONNs with time-varying delays is given in the form of a linear matrix inequality (LMI) that can be reasonably solved in polynomial time using the LMI Control Toolbox. These conditions are not only delay-dependent but also order-dependent, and less conservative than some existing work. Finally, the rationality of the research results is proved by simulation.
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ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract6070375