Synchronization of a Network Composed of Stochastic Hindmarsh–Rose Neurons

Branislav Rehák and Volodymyr Lynnyk
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Branislav Rehák: The Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vodarenskou vezi 4, 182 00 Praha 8, Czech Republic
Volodymyr Lynnyk: The Czech Academy of Sciences, Institute of Information Theory and Automation, Pod Vodarenskou vezi 4, 182 00 Praha 8, Czech Republic

Mathematics, 2021, vol. 9, issue 20, 1-16

Abstract: An algorithm for synchronization of a network composed of interconnected Hindmarsh–Rose neurons is presented. Delays are present in the interconnections of the neurons. Noise is added to the controlled input of the neurons. The synchronization algorithm is designed using convex optimization and is formulated by means of linear matrix inequalities via the stochastic version of the Razumikhin functional. The recovery and the adaptation variables are also synchronized; this is demonstrated with the help of the minimum-phase property of the Hindmarsh–Rose neuron. The results are illustrated by an example.

Keywords: Hindmarsh–Rose neuron; multi-agent systems; stochastic retarded system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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