This article investigates the indifference-attractor bifurcation of infinite horizon discrete-time optimal control problems with a single state variable. We show that these bifurcations are linked to a heteroclinic bifurcation scenario of the statecostate equations, and we analyse the consequences for the optimal solutions. In particular, we can characterise the bifurcation value at which indif...

Many applications require fast data transfer over high speed and long distance networks. Compound TCP(CTCP) is a novel congestion control algorithm for high-speed and long delay networks. This paper develops a discrete time dynamic feedback model of a congestion control system with CTCP under random early detection (RED). We find that periodic doubling bifurcation occurs when varying the RED co...

In this paper we analyze the problem of bifurcation con trol from a geometric perspective Our goal is to provide coordinate free geometric conditions under which con trol can be used to alter the bifurcation properties of a nonlinear control system These insights are expected to be useful in understanding the role that magnitude and rate limits play in bifurcation control as well as giving deep...

In this paper, the dynamics of a DC-DC boost power converter under variable structure control is studied applying bifurcation analysis techniques. The switching hyperplane coefficients are considered as bifurcation parameters. The dynamic phenomena detected in this work suggest new types of sliding bifurcations. This analysis is relevant in the context of sliding mode control with auxiliary ada...

In this work an approach based on nonlinear dynamics is used for the integrated design and controller tuning of a CSTR. The approach enables integrated design optimization and robust tuning of a linearizing feedback controller. The controller setting found by the approach guarantees robust stability of the process over a large range of set point variations even in the presence of parameter unce...

In this thesis we show how the concept of Pyragas control can be adapted to equivariant dynamical systems near Hopf bifurcation. We introduce a control term which uses the spatio-temporal symmetry of the unstable periodic orbit. We give explicit necessary and sufficient conditions for the stabilization of the periodic orbit near equivariant Hopf bifurcation. For the remaining eigenvalues, we ca...

*Correspondence: [email protected] Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, P.R. China 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 exi...

The bifurcation of limit cycles in single-input single-output control systems with saturation is considered. Under some non-degeneracy conditions, a theorem characterizing such bifurcation is stated for the cases of dimension two and three. In terms of the deviation from the critical value of the bifurcation parameter, expressions in form of power series for the period, amplitude and the charac...

This paper addresses the problem of bifurcation analysis for nonlinear control systems. It is a review of some results published in recent years on bifurcations of control systems based on the normal form approach. We address three problems for systems with a single uncontrollable mode, namely the problem of normal forms, bifurcations of control systems, and bifurcation control by state feedback.