In this paper two different control methods are combined for controlling a typical nonholonomic device (a bicycle) the dynamic model and parameters of which are only approximately known. Most of such devices suffer from the problem that the time-derivatives of the coordinates of their location and orientation cannot independently be set so an arbitrarily prescribed trajectory cannot precisely b...

In this article the applications of differential flatness to some industrial systems are presented. Computational methods of obtaining the flat output and the straight forward method of constructing the corresponding control law are given. Some theoretical and industrial systems are used as illustration including the third order synchronous machine model and the one degree of freedom magnetic l...

The overload control of missile system is researched under the condition that the control direction is unknown. A nussbaum gain strategy is adopted to solve the unknown control direction problem for the linear model of missile motion of pitch channel . The backstepping technology and integral action are used to cope the system uncertainty. A novel type of control law, which is only consisted of...

This paper shows that yardstick competition does not assist a regulator when lump-sum transfers are not costly and the regulator does not care about the distribution of income. Yardstick competition may discourage investment that would make efficient operation possible. The paper characterizes optimal regulatory schemes in a simple model and demonstrates that it may be optimal to limit the amou...

We consider the harvest of a certain proportion of a population that is modeled by an integro-difference equation. This model is discrete in time and continuous in the space variable. The dispersal of the population is modeled by an integral of the population density against a kernel function. The control is the harvest, and the goal is to maximize the profit. The optimal control is characteriz...

In this work, we consider an adaptive linear regression model designed to explain the patient’s response in a clinical trial. Patients are assumed to arrive sequentially. The adaptive nature of this statistical model allows the error terms to depend on the past which has not been permitted in other adaptive models in the literature. Some techniques of the theory of optimal designs are used in t...

The design of systems, or agents, situated in dynamic environments is of considerable practical and theoretical importance. In this paper, we describe experiments examining the e cacy of static sensing policies when the time cost of processing sensor information is signi cant. Extending the Tileworld experiments performed earlier by Kinny and George , we demonstrate that several expected featur...

In this paper, we employ the reduced basis method as a surrogate model for the solution of linear-quadratic optimal control problems governed by parametrized elliptic partial differential equations. We present a posteriori error estimation and dual procedures that provide rigorous bounds for the error in several quantities of interest: the optimal control, the cost functional, and general linea...

Abstract: We consider three closely related problems in optimal control: (1) minimizing the probability of lifetime ruin when the rate of consumption is stochastic and when the individual can invest in a Black-Scholes financial market; (2) minimizing the probability of lifetime ruin when the rate of consumption is constant but the individual can invest in two risky correlated assets; and (3) a ...

This thesis includes my three-year doctoral research in the field of image sequence interpolation. The introduced interpolation methods are mainly based on finding an appropriate optical flow field, with which the objects in an initial image can be “transported” and “warped” to a certain time. To identify the optical flow field the interpolation problem is considered in the framework of optimal...