A Novel Zeroing Neural Network for Solving Time-Varying Quadratic Matrix Equations against Linear Noises

• Published in: Mathematics (Basel) Vol. 11; no. 2; p. 475
• Main Authors: Li, Jianfeng, Qu, Linxi, Li, Zhan, Liao, Bolin, Li, Shuai, Rong, Yang, Liu, Zheyu, Liu, Zhijie, Lin, Kunhuang
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.01.2023
• Subjects: double-integration-enhanced zeroing neural network; Errors; Formulas (mathematics); Inventory control; linear noise; Mathematical models; Neural networks; Noise; Optimal control; Quadratic equations; time-varying quadratic matrix equation

The solving of quadratic matrix equations is a fundamental issue which essentially exists in the optimal control domain. However, noises exerted on the coefficients of quadratic matrix equations may affect the accuracy of the solutions. In order to solve the time-varying quadratic matrix equation pr...