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Authors: Neyir Ozcan 1 and Sabri Arik 2

Affiliations: 1 Istanbul University, Turkey ; 2 Isik University, Turkey

Keyword(s): Neural Networks, Delayed Systems, Lyapunov Functionals, Stability Analysis.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Biomedical Engineering ; Biomedical Signal Processing ; Collective & Distributed Intelligent Systems and Dynamics ; Computational Intelligence ; Health Engineering and Technology Applications ; Human-Computer Interaction ; Methodologies and Methods ; Neural Networks ; Neurocomputing ; Neurotechnology, Electronics and Informatics ; Pattern Recognition ; Physiological Computing Systems ; Sensor Networks ; Signal Processing ; Soft Computing ; Stability and Instability in Artificial Neural Networks ; Theory and Methods

Abstract: This paper studies the global robust stability of delayed neural networks. A new sufficient condition that ensures the existence, uniqueness and global robust asymptotic stability of the equilibrium point is presented. The obtained condition is derived by using the Lyapunov stability and Homomorphic mapping theorems and by employing the Lipschitz activation functions. The result presented establishes a relationship between the network parameters of the neural system independently of time delays. We show that our results is new and improves some of the previous global robust stability results expressed for delayed neural networks.

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Paper citation in several formats:
Ozcan, N. and Arik, S. (2012). Robust Stability Analysis of a Class of Delayed Neural Networks. In Proceedings of the 4th International Joint Conference on Computational Intelligence (IJCCI 2012) - NCTA; ISBN 978-989-8565-33-4; ISSN 2184-3236, SciTePress, pages 603-606. DOI: 10.5220/0004090506030606

@conference{ncta12,
author={Neyir Ozcan. and Sabri Arik.},
title={Robust Stability Analysis of a Class of Delayed Neural Networks},
booktitle={Proceedings of the 4th International Joint Conference on Computational Intelligence (IJCCI 2012) - NCTA},
year={2012},
pages={603-606},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004090506030606},
isbn={978-989-8565-33-4},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the 4th International Joint Conference on Computational Intelligence (IJCCI 2012) - NCTA
TI - Robust Stability Analysis of a Class of Delayed Neural Networks
SN - 978-989-8565-33-4
IS - 2184-3236
AU - Ozcan, N.
AU - Arik, S.
PY - 2012
SP - 603
EP - 606
DO - 10.5220/0004090506030606
PB - SciTePress

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