Transition dynamics and adaptive synchronization of time-delay interconnected corticothalamic systems via nonlinear control

被引：19
作者：
Fan, Denggui [1 ,2 ]
Zhang, Liyuan [3 ]
Wang, Qingyun [3 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China
[2] Univ Sci & Technol Beijing, Beijing Key Lab Knowledge Engn Mat Sci, Beijing, Peoples R China
[3] Beihang Univ, Dept Dynam & Control, Beijing 100191, Peoples R China
来源：
NONLINEAR DYNAMICS | 2018年 / 94卷 / 04期
基金：
国家重点研发计划; 中国国家自然科学基金; 中国博士后科学基金;
关键词：
Corticothalamic model; Time delay; Transition dynamics; Adaptive synchronization; Nonlinear control; SPIKE-WAVE DISCHARGES; HINDMARSH-ROSE NEURONS; ABSENCE SEIZURES; SLEEP SPINDLES; NETWORK MODEL; OSCILLATIONS; EPILEPSY;
D O I：
10.1007/s11071-018-4526-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A modified corticothalamic (MCT) system with multiple delays for epileptic absence seizures is taken as a study object. Synchronization transition dynamics of two time-delay interconnected MCT systems via nonlinear control is investigated in this paper. Both the intrinsic delays in a single MCT system and the coupling delays between two MCT systems are considered. When there is no control, it is found that the occurrences of synchronization are dependent on the specific deviations of intrinsic delays and also correlated with the rhythmic periods of oscillations for the two MCT subsystems. To obtain the synchronous state transitions irrespective of the intrinsic delays, based on the Lyapunov stability theory, we propose a nonlinear adaptive control schemes with respect to the coupling delays. The numerical simulation results show the effectiveness of the designed control method.
引用
收藏
页码：2807 / 2825
页数：19
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