Synchronization of a Network Composed of Stochastic Hindmarsh-Rose Neurons

被引：8
|
作者：
Rehak, Branislav [1 ]
Lynnyk, Volodymyr [1 ]
机构：
[1] Czech Acad Sci, Inst Informat Theory & Automat, Pod Vodarenskou Vezi 4, Prague 18200 8, Czech Republic
来源：
MATHEMATICS | 2021年 / 9卷 / 20期
关键词：
Hindmarsh-Rose neuron; multi-agent systems; stochastic retarded system; LEADER-FOLLOWING CONSENSUS; GENERALIZED LORENZ SYSTEM; ADAPTIVE SYNCHRONIZATION; CHAOTIC SYNCHRONIZATION; PHASE SYNCHRONIZATION; MULTIAGENT SYSTEMS; STABILITY; RAZUMIKHIN;
D O I：
10.3390/math9202625
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.</p>
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页数：16
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