A critical case for the spiral stability for \(2\times 2\) discontinuous systems and an application to recursive neural networks (Q346973)
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scientific article; zbMATH DE number 6657724
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A critical case for the spiral stability for \(2\times 2\) discontinuous systems and an application to recursive neural networks |
scientific article; zbMATH DE number 6657724 |
Statements
A critical case for the spiral stability for \(2\times 2\) discontinuous systems and an application to recursive neural networks (English)
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30 November 2016
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This paper first provides a result on the assymptitic stability of the origin of a planar piecewise smooth differential system which are separated in four parts associated to the four quadrants under a very strong condition. Then applying this result to a recursive neural networks with nonlinear piecewise smooth activitations, the authors obtained some sufficient conditions on the assymptotic stability of the orgin of the networks.
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piecewise smooth systems
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neural networks
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genetic regulatory networks
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spiral motion
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stability
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0.86863023
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0.86396503
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0.8628052
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