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The Passivity of Uncertain Fractional-Order Neural Networks with Time-Varying Delays
| Content Provider | MDPI |
|---|---|
| Author | Xu, Song Liu, Heng Han, Zhimin |
| Copyright Year | 2022 |
| Description | 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. |
| Starting Page | 375 |
| e-ISSN | 25043110 |
| DOI | 10.3390/fractalfract6070375 |
| Journal | Fractal and Fractional |
| Issue Number | 7 |
| Volume Number | 6 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-07-02 |
| Access Restriction | Open |
| Subject Keyword | Fractal and Fractional Industrial Engineering Passivity Analysis Time-varying Delays Uncertain Fractional-order Neural Network Asymptotically Stable |
| Content Type | Text |
| Resource Type | Article |
