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Your search keyword '"Wang, Xuedi"' showing total 2 results
Start Over Author "Wang, Xuedi" Topic hybrid control
2 results on '"Wang, Xuedi"'

1. Hybrid control of Hopf bifurcation in a Lotka-Volterra predator-prey model with two delays.

Author

Peng, Miao, Zhang, Zhengdi, and Wang, Xuedi

Subjects
HOPF bifurcations, PREDATION, EQUATIONS, MANIFOLDS (Mathematics), MATHEMATICS theorems, COMPUTER simulation, MATHEMATICAL models
Abstract

In this paper, the Hopf bifurcation control for a Lotka-Volterra predator-prey model with two delays is studied by using a hybrid control strategy. By analyzing the associated characteristic equation, its local stability and the existence of Hopf bifurcation with respect to both delays are established. In addition, the onset of an inherent bifurcation is delayed. Based on the normal form theory and the center manifold theorem, explicit formulas are derived to determine the direction of Hopf bifurcation and stability of the bifurcating periodic solution. Numerical simulation results confirm that the hybrid controller is efficient in controlling Hopf bifurcation. [ABSTRACT FROM AUTHOR]

Published
2017
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2. Qualitative analysis and control for predator-prey delays system.

Author

Chen, Xiaoxiao and Wang, Xuedi

Subjects
*PREDATION, *QUALITATIVE chemical analysis, *FEEDBACK control systems, *HOPF bifurcations, *TIME delay systems
Abstract

• The dynamics of predator-prey system with two time delays and Monod–Haldane response function are considered. • The local stability of the interior equilibrium is established and the conditions for existence of the Hopf bifurcation are obtained. • The direction of the Hopf bifurcation and the stability of the bifurcation period solutions are investigated. • The Hopf bifurcation of the original system is controlled by using parameter disturbance and state feedback control. • The numerical examples are given to carry out to support the obtained theoretical findings. In this paper, the dynamics of a stage-structured predator-prey system with two time delays and Monod–Haldane response function are considered. By taking the two time delays as the bifurcation parameter, the local stability of the interior equilibrium is established and the conditions for existence of the Hopf bifurcation are obtained. Furthermore, based on the normal form method and center manifold theorem, the direction of the Hopf bifurcation and the stability of the bifurcation period solutions are investigated. In addition, by using parameter disturbance and state feedback control to act on the system, we succeeded in controlling the Hopf bifurcation of the original system. Numerical examples are given to carry out to support the obtained theoretical findings. [ABSTRACT FROM AUTHOR]

Published
2019
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