A family of varying-parameter finite-time zeroing neural networks for solving time-varying Sylvester equation and its application

被引：27

作者：

Gerontitis, Dimitrios ^{[1
]}

Behera, Ratikanta ^{[2
]}

Tzekis, Panagiotis ^{[1
]}

Stanimirovic, Predrag ^{[3
]}

机构：

[1] Int Hellen Univ, Dept Informat & Elect Engn, Thessaloniki, Greece

[2] Univ Cent Florida, Dept Math, Orlando, FL 32826 USA

[3] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2022年 / 403卷

关键词：

Recurrent neural network; Sylvester equation; Zeroing neural network (ZNN); Varying-parameter finite-time zeroing neural network (VPFTZNN); ITERATIVE ALGORITHM; DESIGN FORMULA; CONVERGENCE;

D O I：

10.1016/j.cam.2021.113826

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A family of varying-parameter finite-time zeroing neural networks (VPFTZNN) is introduced for solving the time-varying Sylvester equation (TVSE). The convergence speed of the proposed VPFTZNN family is analysed and compared with the traditional zeroing neural network (ZNN) and the finite-time zeroing neural network (FTZNN). The behaviour of the proposed neural networks under various activation functions is proved theoretically and verified experimentally. In addition, the stability and noise resistance of the proposed VPFTZNN family are discussed. Further, the proposed VPFTZNN models are applied in the computation of current flows in an electrical network. (c) 2021 Elsevier B.V. All rights reserved.

引用

页数：20

共 48 条

[1] Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
Abbasbandy, S
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 145 (2-3) : 887 - 893
[2] Further results on generalized inverses of tensors via the Einstein product
Behera, Ratikanta
Mishra, Debasisha
[J]. LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (08) : 1662 - 1682
[3] Bhatia R, 1997, B LOND MATH SOC, V29, P1
[4] An optimization approach for minimum norm and robust partial quadratic eigenvalue assignment problems for vibrating structures
Brahma, Sanjoy
Datta, Biswa
[J]. JOURNAL OF SOUND AND VIBRATION, 2009, 324 (3-5) : 471 - 489
[5] Application of ADI iterative methods to the restoration of noisy images
Calvetti, D
Reichel, L
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1996, 17 (01) : 165 - 186
[6] Robust passivity analysis for uncertain neural networks with leakage delay and additive time-varying delays by using general activation function
Cao, Yang
Samidurai, R.
Sriraman, R.
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2019, 155 : 57 - 77
[7] On the solution of a Sylvester equation appearing in descriptor systems control theory
Castelan, EB
da Silva, VG
[J]. SYSTEMS & CONTROL LETTERS, 2005, 54 (02) : 109 - 117
[8] Fundamental loop-current method using 'virtual voltage sources' technique for special cases
Chatzarakis, GE
Tortoreli, MD
Tziolas, AD
[J]. INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING EDUCATION, 2003, 40 (03) : 188 - 207
[9] A new optimal eighth-order family of iterative methods for the solution of nonlinear equations
Chun, Changbum
Lee, Mi Young
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 223 : 506 - 519
[10] Solution to Sylvester equation associated to linear descriptor systems
Darouach, M.
[J]. SYSTEMS & CONTROL LETTERS, 2006, 55 (10) : 835 - 838

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