Control of the Hopf Bifurcation by a Linear Feedback Control-Reference-Cited by-同舟云学术

Control of the Hopf Bifurcation by a Linear Feedback Control

Published:2015-01 Issue:01 Volume:25 Page:1550006
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

López-Renteria J. A.¹,Verduzco F.¹,Aguirre-Hernández B.²

Affiliation:

1. Departamento de Matemáticas, Universidad de Sonora, Boulevard Rosales y Luis Encinas s/n, Col. Centro, CP. 83000, Hermosillo, Sonora, México

2. Departamento de Matemáticas, Universidad Autónoma Metropolitana (Iztapalapa), Av. San Rafael Atlixco #186, Col. Vicentina, CP. 09340, México, D. F., México

Abstract

In this work, we design a kind of linear state feedback control, via the roots connecting-curve, for a class of nonlinear systems which permits to control the Hopf bifurcation. An illustrative example is given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127415500066

Reference21 articles.

1. Local feedback stabilization and bifurcation control, I. Hopf bifurcation

2. Local feedback stabilization and bifurcation control, II. Stationary bifurcation

3. Linear feedback stabilization of nonlinear systems with an uncontrollable critical mode

4. Stabilization of nonlinear systems by means of linear feedbacks

5. THE METHOD OF THE POINT TRANSFORMATIONS IN PIECE-WISE LINEAR SYSTEMS

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Saddle-node bifurcation control of macroscopic traffic flow model considering vehicle braking effect;The European Physical Journal B;2024-05

2. Hopf bifurcation control of macroscopic traffic flow model considering vehicle braking effect;The European Physical Journal E;2023-12

3. Limit Cycle Generation by Inducing the Controllable Hopf Bifurcation;Complex Systems and Their Applications;2023-12-01

4. Generation of stable limit cycles in nonlinear sandwich systems with dead-zone nonlinearity and input saturation;Journal of the Franklin Institute;2021-12

5. A Monoparametric Family of Piecewise Linear Systems to Generate Scroll Attractors via Path-Connected Set of Polynomials;International Journal of Bifurcation and Chaos;2021-03-15