Complex Varying-Parameter Zhang Neural Networks for Computing Core and Core-EP Inverse

被引:27
|
作者
Zhou, Mengmeng [1 ]
Chen, Jianlong [1 ]
Stanimirovic, Predrag S. [2 ]
Katsikis, Vasilios N. [3 ]
Ma, Haifeng [4 ]
机构
[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia
[3] Natl & Kapodistrian Univ Athens, Div Math & Informat, Dept Econ, Sofokleous 1 St, Athens 10559, Greece
[4] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Outer inverse; Core-EP inverse; Core inverse; Complex varying-parameter Zhang neural network; Super-exponential convergence; FINITE-TIME CONVERGENCE; SYLVESTER EQUATION; LIMIT REPRESENTATIONS; MOORE-PENROSE; ZNN MODELS; RINGS; DYNAMICS; DESIGN; ORDER; ZFS;
D O I
10.1007/s11063-019-10141-6
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
An improved complex varying-parameter Zhang neural network (CVPZNN) for computing outer inverses is established in this paper. As a consequence, three types of complex Zhang functions (ZFs) which are used for computing the time-varying core-EP inverse and core inverse are given. The convergence rate of the proposed complex varying-parameter Zhang neural networks (CVPZNNs) is accelerated. The super-exponential performance of the proposed CVPZNNs with linear activation is proved. Also, the upper bounds of a finite time convergence which correspond to the proposed CVPZNN with underlying Li and tunable activation functions are estimated. The simulation results, which relate the CVPZNNs with different activation functions, are presented.
引用
收藏
页码:1299 / 1329
页数:31
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