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Multistability of Switched Complex-Valued Neural Networks with State-Dependent Switching Rules

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成果类型:
期刊论文
作者:
Ou, Shiqin;Guo, Zhenyuan;Ci, Jingxuan;Gong, Shuqing;Wen, Shiping
通讯作者:
Guo, ZY
作者机构:
[Ou, Shiqin; Guo, Zhenyuan; Ci, Jingxuan; Guo, ZY] Hunan Univ, Coll Math, Changsha, Peoples R China.
[Gong, Shuqing] Changsha Univ Sci & Technol, Coll Math & Stat, Changsha, Peoples R China.
[Wen, Shiping] Univ Technol Sydney, Australian AI Inst, Fac Engn & Informat Technol, Sydney, Australia.
通讯机构:
[Guo, ZY ] H
Hunan Univ, Coll Math, Changsha, Peoples R China.
语种:
英文
关键词:
Multistability;Switched complex-valued neural network;State-dependent;Equilibrium point
期刊:
Neurocomputing
ISSN:
0925-2312
年:
2023
卷:
551
页码:
126499
基金类别:
Natural Science Foundation of Chongqing [CSTB2022NSCQ-MSX1315]; National Natural Science Foundation of China [62276094]; Hunan Provincial Natural Science Foundation of China [2021JJ40555]
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
The paper focuses on the multistability problems of the switched complex-valued neural networks with state-dependent switching rules. Based on the differential inclusions theory and fixed point theorem, sev-eral sufficient conditions are derived to ascertain that there exist 25n equilibria, 9n of which are locally ex for n-neuron switched complex-valued neural networks. The number of stable equilibria of an n-neuron switched complex-valued neural network increases significantly from 4n to 9n compared with the con-ventional complex-valued neural networks. Finally, four numerical examples are pr...

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