This paper considers the adaptive state estimation problem for stochastic neural networks with fractional Brownian motion (FBM). The problem for the stochastic neural networks with FBM is handled according to the theory of Hilbert–Schmidt and the principle of analytic semigroup. Using the stochastic analytic technique and adaptive control method, the asymptotic stability and the exponential stability criteria are established. Finally, a simulation example is given to prove the efficiency of developed criteria.
机构:
Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R ChinaShaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
Li, Ruoxia
Gao, Xingbao
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Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R ChinaShaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
Gao, Xingbao
Cao, Jinde
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Southeast Univ, Jiangsu Prov Key Lab Networked Collect Intelligen, Nanjing 211189, Jiangsu, Peoples R China
Southeast Univ, Sch Math, Nanjing 211189, Jiangsu, Peoples R ChinaShaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
机构:
Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China
Fuyang Normal Univ, Sch Math & Stat, Fuyang 236037, Anhui, Peoples R ChinaGuilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China
Zhou, Xia
Liu, Xinzhi
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Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, CanadaGuilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China
Liu, Xinzhi
Zhong, Shouming
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Univ Elect Sci & Technol China, Coll Math Sci, Chengdu 611731, Sichuan, Peoples R ChinaGuilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China