An Overview on Modelling of Complex Interconnected Nonlinear Systems. (27th April 2022)

• Record Type: Journal Article
• Authors: Elloumi, Mourad; Gassara, Hamdi; Naifar, Omar
• Other Names: Meng Debiao Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2022(2022)
• Publication Date: 2022-04-27
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2022/4789405
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper proposes new mathematical models of representation, which can describe the dynamic behavior of large-scale nonlinear systems, such as an extended mathematical model of Volterra series, interconnected Hammerstein structures, and interconnected Wiener structures. In this research, we focus on the class of large-scale nonlinear systems, which are composed of several interconnected nonlinear subsystems. In this context, a discrete nonlinear mathematical model with unknown time-varying parameters, mono-variable, characterizes each interconnected subsystem operating in a deterministic or stochastic environment. An illustrative numerical simulation example of two interconnected nonlinear processes is provided to prove the validity and the performance of the developed theoretical results.