In this paper, the problems of stability and performance analysis are considered for nonlinear systems interconnected over an undirected graph. Firstly, the nonlinear system is represented by a Takagi–Sugeno (T–S) fuzzy model, and the corresponding definitions of well-posedness, stability and contractiveness are established. A sufficient condition is developed to ensure the nonlinear system well-posed, stable and contractive in terms of linear matrix inequalities (LMIs), which gives a theoretical foundation for further research on the control of such systems. A numerical simulation is presented to demonstrate the effectiveness of the results.
Stability and Performance Analysis for Nonlinear Systems Interconnected over Graphs
Lect. Notes Electrical Eng.
2021-10-30
12 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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