Solvability and Controller Action on Local Saddle-Node Bifurcation of Reduced Order Two-Dimensional Differential-Algebraic System

2nd International Scientific Conference (Pure Sciences, Brilliant Creativity and Renewed Building)

Kadhim, Mohammed^1 ; Almamoori, Mohsin^1

Department of Mathematics, College of Science, Al-Mustansiriyah University, Iraq^1

关键词: Differential algebraic equations;    Differential algebraic systems;    Feedback controller;    Reduced order;    Saddle node bifurcation;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/571/1/012018/pdf
DOI  :  10.1088/1757-899X/571/1/012018

来源: IOP

【 摘 要 】

This paper focuses on the solvability and local Saddle-Node bifurcation ensurance of two-dimensional differential-algebraic equations of index-1 with its feedback controller. The feedback controller action has been designed to satisfy the necessary requirements for Saddle-Node bifurcation ensurance. The mathematical assumptions and proofs have proposed with systematic illustrations to demonstrate the applicability of the proposed approach.