Let X1,X2, . . . be and i.i.d. sequence. We consider three stopping rule problems for stopping the sequence of partial sums, Sn = ∑n 1 Xi, each of which has a timeinvariance for the payoff that allows us to describe the optimal stopping rule in a particularly simple form, depending on one or two parameters. For certain distributions of the Xn, the optimal rules are found explicitly. The three p...

The 2-phase heat control problem by a single laser point input is studied and a method of overcoming the moving boundary problem is introduced. This is achieved by applying a sequence of linear time varying control problems which converge to the single nonlinear problem which can be obtained from the joint moving boundary problems.

In adaptive control, the objective is to provide stability and acceptable performance in the face of significant plant uncertainty. However, often there are large transients in the plant output and the control signal can become excessively large. Here we consider the first order case with the plant parameters restricted to a compact set; we show how to design a (linear time-varying) adaptive co...

We discuss a force control problem for a constrained one-link flexible arm based on distributed parameter model. In order to solve the force control problem, we propose a simple feedback control law. This control law consists of bending moment at the root of the flexible arm and its derivative, which regulates simultaneously the force and the rotational angle of the motor without the angle and ...

After a brief survey of a variety of optimal stopping problems in sequential testing theory, we give a unified treatment of these problems by introducing a general class of loss functions and prior distributions. In the context of a one-parameter exponential family, this unified treatment leads to relatively simple sequential tests involving generalized likelihood ratio statistics or mixture li...

This study concentrates on time-optimal operation of a general batch diafiltration process. The process model consists of a set of input affine differential equations. We apply Pontryagin’s minimum principle to formulate necessary conditions of optimality. These are then used to identify the shape of optimal control as well as singular surface in concentration space. Comparison is made between ...

Spectrum sensing is a fundamental operation in cognitive radio environment. It gives information about spectrum availability by scanning the bands. Usually a fixed amount of time is given to scan individual bands. Most of the times, historical information about the traffic in the spectrum bands is not used. But this information gives the idea, how busy a specific band is. Therefore, instead of ...

Motifs are the most repetitive/frequent patterns of a timeseries. The discovery of motifs is crucial for practitioners in order to understand and interpret the phenomena occurring in sequential data. Currently, motifs are searched among series sub-sequences, aiming at selecting the most frequently occurring ones. Search-based methods, which try out series sub-sequence as motif candidates, are c...