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Solvability and Controller Action on Local Pitchfork Bifurcation of Reduced Order Two-dimensional Differential-algebraic System


Radhi Ali Zaboon and Mohammed Kadhim Mohsin Almamoori
Abstract

Our study focuses on the solvability and local Pitchfork bifurcation ensurance of two-dimensional differential-algebraic equations of index-1 with its feedback controller. The feedback controlleraction has been designed to satisfy the necessary requirements for Pitchfork bifurcation ensurance. The mathematical assumptions and proofs have proposed with step-by-step illustrations to demonstrate the applicability of the proposed approach.

Volume 11 | Issue 2

Pages: 109-121