The main focus of this talk is the physics of large N QCD on a continuum torus. A cascade of phase transitions associated with the breaking of U(1) symmetries will be discussed. The continuum Wilson loop as a function of its area will be discussed along with its universality properties and the associated double scaling limit. Some recent progress in twisted Eguchi-Kawai is presented. Gauge fiel...

Discretely controlled continuous systems (DCCS) represent an important class of hybrid systems, in which a continuous process is regulated by a discrete controller. The paper introduces a novel modelbased design procedure for periodically operated DCCS with the objective to produce a periodic stationary operation. The method exploits an equivalence to periodic control systems to obtain an event...

An experimental implementation of an output-feedback controller on a rotor dynamic system with set-valued friction is presented. The system exhibits coexisting stable/unstable equilibria and undesired friction-induced limit cycles. In the system, the friction and actuation are non-collocated, which prevents the application of standard friction compensation techniques. Therefore, an outputfeedba...

The active suppression of aeroelastic limit cycle flutter oscillations is the main goal of this work. Because of the significant dependence of such outcomes upon flight conditions, an adaptive controller is selected. The related task is accomplished through a full state Immersion and Invariance feedback, embodying linear filters to simplify its design. A practical implementation is then obtaine...

This article reviews advances in detection and diagnosis of plant-wide control system disturbances in chemical processes and discusses new directions that look promising for the future. Causes of plant-wide disturbances include non-linear limit cycles in control loops, controller interactions and tuning problems. The diagnosis of non-linearity, especially when due to valve stiction, has been an...

In this paper we consider two-groups of i.i.d. normally distributed random variables (N(mu(x),sigma(x) (2)) and N(mu(y),sigma(y) (2))) without assuming equal variance (sigma(x) (2) = sigma(y) (2)). We propose a simple method for constructing confidence bounds based on Howe's approximation I. Its applications in parallel clinical trial (testing H(0) : mu(x)-mu(y)=0 versus H(1) : mu(x)-mu(y)<0) a...

In this paper, we propose a feedback control for a class of bilinear systems. Based on the Bellman-Gronwall inequality, the exponentially stable periodic solutions or limit cycles, appearing as an ellipsoid in the phase plane, are guaranteed. Moreover, the frequency of oscillation and convergence rate can be correctly estimated for such bilinear control systems. Finally, a numerical example is ...

This work is concerned with planar real analytic differential systems with an analytic inverse integrating factor defined in a neighborhood of a regular orbit. We show that the inverse integrating factor defines an ordinary differential equation for the transition map along the orbit. When the regular orbit is a limit cycle, we can determine its associated Poincaré return map in terms of the in...

This paper deals with the vertical and longitudinal control of a mechanical system which interacts intermittently with the environment. The control approach is based on Controlled LimitCycle for performing the hopping motion, whereas a nonlinear energy based control law is used for longitudinal motion control. The study of this simple system permits a better comprehension of more complicated le...

In this chapter the mathematical tools from bifurcation theory are used within the framework of feedback control systems. The first part deals with a simple example where the amplitude of limit cycles and the appearance of period-doubling bifurcations are controlled using a method derived from the frequency domain approach. In the second part, bifurcation theory is used to analyze the dynamical...