in this paper an approach based on evolutionary algorithms to find pareto optimal pair of state and control for multi-objective optimal control problems (moocp)'s is introduced‎. ‎in this approach‎, ‎first a discretized form of the time-control space is considered and then‎, ‎a piecewise linear control and a piecewise linear trajectory are obtained from the discretized time-control space using ...

We consider an optimal control problem associated to Dirichlet boundary value problem for linear elliptic equations on a bounded domain Ω. We take the matrixvalued coe cients A(x) of such system as a control in L(Ω;R × R ). One of the important features of the admissible controls is the fact that the coe cient matrices A(x) are non-symmetric, unbounded on Ω, and eigenvalues of the symmetric par...

In this paper we discuss special bilevel optimal control problems where the upper level problem is an optimal control problem of ODEs with control and terminal constraints and the lower level problem is a finite-dimensional parametric optimization problem where the parameter is the final state of the state variable of the upper level. We tackle this problem using tools of nonsmooth analysis, op...

We establish the equivalence of competitive industry equilibrium with a central planner’s decision problem under uncertainty, when investment is irreversible. The existence of industry equilibrium is derived, and it is shown that myopic behavior on the part of small agents is harmless, in the sense that it leads to the same decisions as full rational expectations do. Our model is set in continu...

We consider the distributed optimal control of the obstacle problem with control constraints. Since Mignot proved in 1976 the necessity of a system which is equivalent to strong stationarity, it has been an open problem whether such a system is still necessary in the presence of control constraints. Using moderate regularity of the optimal control and an assumption on the control bounds (which ...

We present optimization problem for Asymmetric Flow Field Flow Fractionation, which is a widely used technique for segregation of two or more particles of submicron scale, according to their hydrodynamic radius. We give a short description of AF4 and present one way coupled model. For an optimization problem we use the sensitivities due to the special structure of the objective functional for t...

In this paper we consider the problem of optimal control of a boundary obstacle problem of the 1-D wave equation. We establish the existence and uniqueness of an optimal obstacle, give the characterization of the obstacle and obtain a Hamilton-Jacobi equation.

Still at the beginning of the previous century the optimal control problems with infinite horizon became very important with regards to applications in economics and biology, where an infinite horizon seems to be a very natural phenomenon, (5), (3), (10). Since then these problems were treated by many authors and various necessary, sufficient as well as transversality conditions were obtained, ...

We develop a dynamic optimal control model of a fashion designer’s challenge of maintaining brand image in the face of short-term pro…t opportunities through expanded sales that risk brand dilution in the longer-run. The key state variable is the brand’s reputation, and the key decision is sales volume. Depending on the brand’s capacity to command higher prices, one of two regimes is observed. ...