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Neural Processing Letters
Erschienen in: Neural Processing Letters 1/2017

06.02.2017

New Results on Reachable Sets Bounding for Switched Neural Networks Systems with Discrete, Distributed Delays and Bounded Disturbances

verfasst von: Mai Viet Thuan, Nguyen Thi Huyen Thu

Erschienen in: Neural Processing Letters | Ausgabe 1/2017

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Abstract

In this paper, problem of reachable sets bounding is considered for switched neural networks systems with mixed time-varying delays and bounded disturbances. By using Lyapunov–Krasovskii functional method, some new sufficient conditions are derived for the existence of (1) the smallest possible outer bound of forwards reachable sets; and (2) the largest possible inter bound of backward reachable sets. These conditions are delay dependent and in the form of linear matrix inequalities, which therefore can be efficiently solved by using existing convex algorithms. A constructive geometric design of switching laws is also presented. Finally, two numerical examples are given to illustrate the effectiveness of the proposed method.
Vorheriger Artikel Guaranteed Cost Anti-windup Stabilization of Discrete Delayed Cellular Neural Networks

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Metadaten
Titel
New Results on Reachable Sets Bounding for Switched Neural Networks Systems with Discrete, Distributed Delays and Bounded Disturbances
verfasst von
Mai Viet Thuan
Nguyen Thi Huyen Thu
Publikationsdatum
06.02.2017
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 1/2017
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-017-9596-4

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