# PASSIVITY OF A CLASS OF HOPFIELD NETWORKS - Application to Chaos Control

### Adrian–Mihail Stoica, Isaac Yaesh

#### Abstract

The paper presents passivity conditions for a class of stochastic Hopfield neural networks with state–dependent noise and with Markovian jumps. The contributions are mainly based on the stability analysis of the considered class of stochastic neural networks using infinitesimal generators of appropriate stochastic Lyapunov–type functions. The derived passivity conditions are expressed in terms of the solutions of some specific systems of linear matrix inequalities. The theoretical results are illustrated by a simplified adaptive control problem for a dynamic system with chaotic behavior.

#### References

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#### Paper Citation

#### in Harvard Style

Stoica A. and Yaesh I. (2008). **PASSIVITY OF A CLASS OF HOPFIELD NETWORKS - Application to Chaos Control** . In *Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,* ISBN 978-989-8111-32-6, pages 84-89. DOI: 10.5220/0001478500840089

#### in Bibtex Style

@conference{icinco08,

author={Adrian–Mihail Stoica and Isaac Yaesh},

title={PASSIVITY OF A CLASS OF HOPFIELD NETWORKS - Application to Chaos Control},

booktitle={Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},

year={2008},

pages={84-89},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001478500840089},

isbn={978-989-8111-32-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Fifth International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,

TI - PASSIVITY OF A CLASS OF HOPFIELD NETWORKS - Application to Chaos Control

SN - 978-989-8111-32-6

AU - Stoica A.

AU - Yaesh I.

PY - 2008

SP - 84

EP - 89

DO - 10.5220/0001478500840089