Open AccessSolvability and Controller Action on Local Saddle-Node Bifurcation of Reduced Order Two-Dimensional Differential-Algebraic System
Author(s) -
Mohammed Jawad Kadhim,
Mohsin Almamoori
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/571/1/012018
Subject(s) - controller (irrigation) , bifurcation , node (physics) , mathematical proof , saddle node bifurcation , mathematics , differential (mechanical device) , control theory (sociology) , algebraic number , action (physics) , order (exchange) , saddle , mathematical analysis , computer science , control (management) , mathematical optimization , geometry , engineering , physics , nonlinear system , economics , artificial intelligence , structural engineering , finance , quantum mechanics , aerospace engineering , agronomy , biology
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.