This work was supported in part by the National Key R&D Program of China under Grant
2017YFB1002505, in part by the National Natural Science Foundation of China under Grant
61603142 and Grant 61633010, in part by the Guangdong Foundation for Distinguished
Young Scholars under Grant 2017A030306009, in part by the Guangdong Youth Talent
Support Program of Scientific and Technological Innovation under Grant 2017TQ04X475, in
part by the Science and Technology Program of Guangzhou under Grant 201707010225, in …

In mathematics and engineering fields, solving online time-varying matrix equation P (t) X (t)
Q (t)= W (t) problem is fundamental and vital. A novel varying-gain recurrent neural network
(VG-RNN) is proposed to obtain the online solution of such time-varying matrix equation
problem. Distinguished from the conventional gradient-based neural network (termed as
GNN), zeroing neural network (termed as ZNN), and finite-time zeroing neural network
(termed as FTZNN), the design parameter of VG-RNN is changing with time t goes …