Modeling nonlinear systems using the tensor network B‐spline and the multi‐innovation identification theory

• Published in: International journal of robust and nonlinear control Vol. 32; no. 13; pp. 7304 - 7318
• Main Authors: Wang, Yanjiao, Tang, Shihua, Deng, Muqing
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 10.09.2022
• Subjects: Algorithms; Autoregressive models; B‐spline; Innovations; Mathematical analysis; multi‐innovation identification theory; NARX system; Neural networks; Nonlinear systems; Nonlinearity; online identification; Polynomials; Random noise; Spline functions; tensor network; Tensors
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.6221

The nonlinear autoregressive exogenous (NARX) model shows a strong expression capacity for nonlinear systems since these systems have limited information about their structures. However, it is difficult to model the NARX system with a relatively high dimension by using the popular polynomial NARX an...