This paper concerns a study on the optimal control for nonlinear systems. An appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. In this fashion, the nonlinear system has been linearized using input-output feedback linearization (IOFL). Then, by utilizing the well developed optimal control theory of linear systems, the compensated ...

Market segmentation is an essential element of marketing in industrialized countries. Goods can no longer be produced and sold without considering customer needs and recognized the heterogeneity of these needs. In this paper, we use market segmentation approach in single product inventory system with deteriorating items. The objective is to make use of optimal control theory to solve the produc...

In this paper the design of a time-optimal controller for a class of hybrid systems where the continuous part is modelled by integrator processes is outlined. The controller may be used for classical tracking problems where the goal is to follow a given trajectory. However, since the control law can be expressed as a function of the present continuous state it can also compensate for disturbanc...

Abstract. This paper deals with the optimal control problem in which the controlled system is described by a fully coupled anticipated forward-backward stochastic differential delayed equation. The maximum principle for this problem is obtained under the assumption that the diffusion coefficient does not contain the control variables and the control domain is not necessarily convex. Both the ne...

The paper presents the first result on ISS properties of dynamic unicycle models describing nonholonomic mobile robots. It is known that ISS is related to smooth stabilizability, however this relation cannot exclude the possibility of non smoothly stabilizable systems to possess ISS properties. In fact, it is shown that in a certain topology that seems to suit the nonholonomic nature of the mob...

We analyze some systems of partial differential equations arising in the theory of mean field type control with congestion effects. We look for weak solutions. Our main result is the existence and uniqueness of suitably defined weak solutions, which are characterized as the optima of two optimal control problems in duality.

Abstract. The motivation of this paper is to prove verification theorems for stochastic optimal control of finite dimensional diffusion processes without control in the diffusion term, in the case that the value function is assumed to be continuous in time and once differentiable in the space variable (C) instead of once differentiable in time and twice in space (C), like in the classical resul...

Control theory has developed rapidly over the past few decades and it is now established as an important area of contemporary applied mathematics. Optimal control problem is a mathematical programming problem involving a number of stages where each stage evolves from the previous stage in a prescribed manner. In this paper, we are concerned with optimal control of delay differential equations w...

Considering pitch channel simplified model of missile control system, a VSCL(variable structure control law) is designed by using overload and angle velocity signals. Especially, an analysis is proposed for the situation of equal control with uncertainties. An integral action is introduced to compensate the uncertainties and a soft function is adopted to solve the chattering problem of VSC. Fin...