This paper concerns the control design of a PID controlled gimbals suspension gyro, whose parameters are determined by using bifurcation theory. The non-linear mathematical model of the gyro is deduced by using the nutation theory of gyroscopes. Considering a PID controller with constrained integral action, it is shown that depending on different values of the maximum allowed integral action a ...

Random Early Detection (RED) is the most promising Active Queue Management (AQM) mechanism. Its interaction with Transmission Control Protocol (TCP) can be modeled as a discrete-time dynamical system, which may exhibit complex bifurcation and chaos behavior. An improved RED algorithm is proposed by using a real-time, adaptive, model-independent (RTAMI) technique. Bifurcation analysis and numeri...

Time-delayed feedback control was introduced by Pyragas in 1992 as a general method for stabilizing an unstable periodic orbit of a given continuous-time dynamical system. The analysis of Pyragas control focused on its application to the normal form of a subcritical Hopf bifurcation, and it was initially concerned with stabilization near the Hopf bifurcation. A recent study considered this norm...

Abstract. Based on facts of time delay will influence dynamical behavior and control theory is more appropriate to reflect the natural rule, constructed a predator-prey control model with two delays,choose the two delays as the bifurcation parameter,according to the Routh-Hurwize discriminant method,we studied the local stability and Hopf branch of the control system.The sufficient conditions f...

It is well known that time delays exist widely in biology, neural network, automatic control engineering and so on. Since the existence of delays is frequently a source of instability, bifurcation and chaos, it is important to study the dynamical behaviors of the differential equations with delays. Recently, the periodic problem of Rayleigh equations with a deviating argument x′′ + f(x′(t)) + g...