Properties and computation of continuous-time solutions to linear systems
作者：
Highlights：
• A novel method for finding the AT,S(2)-inverse solution to a given linear system under some constraints is defined.
• Various dynamical systems for computing AT,S(2)-inverse solution are considered.
• Main properties of the AT,S(2)-inverse solution as well as the convergence results are claimed.
• Properties of proposed Zhang neural network (ZNN) models for solving time-varying linear systems are considered.
• Numerical examples are presented.
摘要
•A novel method for finding the AT,S(2)-inverse solution to a given linear system under some constraints is defined.•Various dynamical systems for computing AT,S(2)-inverse solution are considered.•Main properties of the AT,S(2)-inverse solution as well as the convergence results are claimed.•Properties of proposed Zhang neural network (ZNN) models for solving time-varying linear systems are considered.•Numerical examples are presented.
论文关键词：Zhang neural network,Gradient neural network,Dynamical system,Generalized inverse,Linear system
论文评审过程：Received 20 March 2020, Revised 27 February 2021, Accepted 27 March 2021, Available online 14 April 2021, Version of Record 14 April 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126242
