In this paper we, apply the classical control theory to a parabolic partial differential equation in a bounded domain with diffusivity-interior-boundary actuation. We first we study the existence of the solution of the parabolic partial differential equation, then we study the solution bound estimate which are used to prove the existence of the solution of the optimal control problem in a Banac...

To have a productive sales force, firms must provide their salespeople with sales training. But from a profit-maximizing perspective, there are also reasons to limit training: Training is expensive, it has diminishing returns, and trained salespeople need to be compensated at a higher level since their value in the outside labor market has increased. Due to these reasons, the following inter-re...

A new technique for stabilizing nonholonomic systems to trajectories is presented. It is well known (see [2]) that such systems cannot be stabilized to a point using smooth static-state feedback. In this note, we suggest the use of control laws for stabilizing a system about a trajectory, instead of a point. Given a nonlinear system and a desired (nominal) feasible trajectory, the note gives an...

is called the continuous-time Lyapunov equation and is of interest in a number of areas of control theory such as optimal control and stability (Barnett, 1975; Barnett & Storey, 1968). The equation has a unique Hermitian solution, X, if and only if Xt + X~j ^ 0 for all i and j (Barnett, 1975). In particular if every Xt has a negative real part, so that A is stable, and if C is non-negative defi...

Malaria is a deadly disease transmitted to humans through the bite of infected female mosquitoes. In this paper a deterministic system of differential equations is presented and studied for the transmission of malaria. Then optimal control theory is applied to investigate optimal strategies for controlling the spread of malaria disease using treatment, insecticide treated bed nets and spray of ...

V. Agrawal and S. Seshadri (2000) [Risk intermediation in supply chains. IIE Transactions, 32, 819–831] considered a problem in which 7 a single risk neutral distributor supplies a short-lifecycle, long-leadtime product to several retailers that are identical except in their attitudes towards risk. They proved that the distributor should not offer the same terms to every retailer but instead of...

This paper concerns the stability analysis of a new class of model-free visual servoing methods. These methods are “model-free” since they are based on the estimation of the relative camera orientation between two views of an object without knowing its 3D model. The visual servoing is decoupled by controlling the rotation of the camera separately from the rest of the system. The way the remaini...

A tuberculosis model which incorporates treatment of infectives and chemoprophylaxis is considered. For this model, controls on treatment, chemoprophylaxis and disease relapse are incorporated to reduce the latently infected and actively infected individual populations, via application of the Pontryagins Maximum Principle of optimal control theory.

Time optimal control problems for an internally controlled heat equation with pointwise control constraints are studied. By making use of Pontryagin’s maximum principle and a special kind of property for nontrivial solutions of the heat equation, we derive a bangbang property for time optimal control. Using the bang-bang property and establishing certain connections between timeand norm optimal...

The biomechanics of the human body gives subjects a high degree of freedom in how they can execute movement. Nevertheless, subjects exhibit regularity in their movement patterns. One way to account for this regularity is to suppose that subjects select movement trajectories that are optimal in some sense. We adopt the principle that human movements are optimal and develop a general model for hu...