Dynamical Behaviors of a Large Class of Delayed Differential Systems with Discontinuous Right-Hand Side

Dynamical Behaviors of a Large Class of Delayed Differential Systems with Discontinuous Right-Hand Side

In this paper, we investigate dynamical behaviors of a large class of delayed differential systems with discontinuous right-hand side. This class of delayed differential systems includes Hopfield and Cellular neural networks with discontinuous activations as special cases. We prove that under some m...

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Bibliographische Detailangaben
Hauptverfasser: Lu, Wenlian, Chen, Tianping
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Applied sciences
Artificial intelligence
Computer science
control theory
systems
Connectionism. Neural networks
Exact sciences and technology
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Beschreibung
Zusammenfassung:In this paper, we investigate dynamical behaviors of a large class of delayed differential systems with discontinuous right-hand side. This class of delayed differential systems includes Hopfield and Cellular neural networks with discontinuous activations as special cases. We prove that under some mild conditions, this system has a unique almost-periodic solution, which is globally exponential stable.
ISSN:0302-9743
1611-3349
DOI:10.1007/11893028_43