Bifurcation control: theories, methods, and applications

G Chen, JL Moiola, HO Wang - International Journal of Bifurcation …, 2000 - World Scientific
Bifurcation control deals with modification of bifurcation characteristics of a parameterized
nonlinear system by a designed control input. Typical bifurcation control objectives include …

Fixed-time dynamic surface high-order sliding mode control for chaotic oscillation in power system

J Ni, L Liu, C Liu, X Hu, T Shen - Nonlinear Dynamics, 2016 - Springer
In this paper, a fixed-time dynamic surface high-order sliding mode control approach is
presented for chaos suppression and voltage stabilization in three-bus power system via …

[LIBRO][B] Stability of dynamical systems

X Liao, LQ Wang, P Yu - 2007 - books.google.com
The main purpose of develo** stability theory is to examine dynamic responses of a
system to disturbances as the time approaches infinity. It has been and still is the object of …

[LIBRO][B] Normal forms, Melnikov functions and bifurcations of limit cycles

M Han, P Yu - 2012 - Springer
Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon
which the theory of limit cycles has a significant impact for both theoretical advances and …

Complex dynamics in a permanent-magnet synchronous motor model

Z **g, C Yu, G Chen - Chaos, Solitons & Fractals, 2004 - Elsevier
This paper characterizes the complex dynamics of the permanent-magnet synchronous
motor (PMSM) model with a non-smooth-air-gap, extending the work on the smooth case …

Hopf bifurcation control using nonlinear feedback with polynomial functions

P Yu, G Chen - International Journal of Bifurcation and Chaos, 2004 - World Scientific
A general explicit formula is derived for controlling bifurcations using nonlinear state
feedback. This method does not increase the dimension of the system, and can be used to …

Controlling Hopf bifurcation and chaos in a small power system

AM Harb, N Abdel-Jabbar - Chaos, Solitons & Fractals, 2003 - Elsevier
For the power systems, the stabilization and tracking of voltage collapse trajectory, which
involves severe nonlinear and nonstationary (unstable) features, is somewhat difficult to …

Bifurcation, limit cycle and chaos of nonlinear dynamical systems

P Yu - Edited Series on Advances in Nonlinear Science and …, 2006 - Elsevier
In this chapter, we shall consider bifurcations of dynamical systems which are described by
ordinary differential equations, difference equations and time delayed differential equations …

Control of tip** in a small-world network model via a novel dynamic delayed feedback scheme

H He, M **ao, Y Lu, Z Wang, B Tao - Chaos, Solitons & Fractals, 2023 - Elsevier
Small-world networks have been of increasing interest because of their high similarity with
complex networks in reality. Achievements about controlling the propagation and evolution …

Bifurcations, chaos, and system collapse in a three node power system

Z **g, D Xu, Y Chang, L Chen - International journal of electrical power & …, 2003 - Elsevier
A model of the three node power system proposed by Rajesh and Padiyar [Electr. Power
Energy Syst. 21 (1999) 375] is studied. As the bifurcation parameter Pm (input power to the …