There has been much progress in the development of a model of motor control in the brain in the last decade; from the improved method for mathematically extracting the predicted movement direction from a population of neurons to the application of optimal control theory to motor control models, much work has been done to further our understanding of this area. In this paper recent literature is...

The question of the existence of optimal controls is fundamental to many further developments in control theory, and there is a huge literature on the subject. For stochastic control, variance control problems have received much attention recently owing to their importance in nancial mathematics. The existence question is answered in much the same way as it is when only the drift is controlled....

xvi 1 Optimal Control Theory 1 1.

Following an introduction to control theory, we show how Finsler geometries occur in certain classes of control systems.

This paper deals with the model-reference control of timed event graphs using the dioid algebra and the residuation theory. It proposes a control structure based on a precompensator and a feedback controller to improve the controlled system performance. It is shown that this approach always leads to an optimal behavior of the closed-loop system. An example is given to illustrate the proposed ap...

Market segmentation has emerged as the primary means by which firms achieve optimal production policy. In this paper, we use market segmentation approach in multi-product inventory system with inventory-level-dependent demand. The objective is to make use of optimal control theory to solve the inventory-production problem and develop an optimal production policy that minimizes the total cost as...

In this paper, we relax the assumption of a known time horizon in optimal control models.

Content: A logical tool in robust control theory for systems of parametric inhomogeneous linear ODEs.