Тип публикации: статья из журнала

Год издания: 2022

Идентификатор DOI: 10.3390/math10234490

Ключевые слова: algebraic riccati equations, dynamical system, hyperpower iterations, zeroing neural networks

Аннотация: One of the most often used approaches for approximating various matrix equation problems is the hyperpower family of iterative methods with arbitrary convergence order, whereas the zeroing neural network (ZNN) is a type of neural dynamics intended for handling time-varying problems. A family of ZNN models that correlate with the hyПоказать полностьюperpower iterative methods is defined on the basis of the analogy that was discovered. These models, known as higher-order ZNN models (HOZNN), can be used to find real symmetric solutions of time-varying algebraic Riccati equations. Furthermore, a noise-handling HOZNN (NHOZNN) class of dynamical systems is introduced. The traditional ZNN and HOZNN dynamic flows are compared theoretically and numerically. © 2022 by the authors.

Журнал: Mathematics

Выпуск журнала: Vol. 10, Is. 23

Номера страниц: 4490

ISSN журнала: 22277390

Издатель: MDPI

• Jerbi H. (Department of Industrial Engineering, College of Engineering, University of Háil, Hail, 1234, Saudi Arabia)
• Alharbi H. (Department of Computer Engineering, College of Computer Science and Engineering, University of Háil, Hail, 1234, Saudi Arabia)
• Omri M. (Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, 21589, Saudi Arabia)
• Ladhar L. (Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdul Aziz University, Jeddah, 21589, Saudi Arabia)
• Simos T.E. (Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan, Laboratory of Inter-Disciplinary Problems of Energy Production, Ulyanovsk State Technical University, 32 Severny Venetz Street, Ulyanovsk, 432027, Russian Federation, Data Recovery Key Laboratory of Sichun Province, Neijing Normal University, Neijiang, 641100, China, Section of Mathematics, Department of Civil Engineering, Democritus University of Thrace, Xanthi, 67100, Greece)
• Mourtas S.D. (Department of Economics, Mathematics-Informatics and Statistics-Econometrics, National and Kapodistrian University of Athens, Sofokleous 1 Street, Athens, 10559, Greece, Laboratory “Hybrid Methods of Modelling and Optimization in Complex Systems”, Siberian Federal University, Prosp. Svobodny 79, Krasnoyarsk, 660041, Russian Federation)
• Katsikis V.N. (Department of Economics, Mathematics-Informatics and Statistics-Econometrics, National and Kapodistrian University of Athens, Sofokleous 1 Street, Athens, 10559, Greece)

• Scopus