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

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.