<p style='text-indent:20px;'>This paper deals with the generalized Clarke epiderivative of extremum multifunction a multi-objective parametric convex discrete optimal control problem linear state equations and constraints. By establishing an abstract result on mathematical programming problem, we derive formula for computing to problem. Examples are given illustrate obtained results.</...

We consider a vibrating string that is fixed at one end with Neumann control action at the other end. We investigate the optimal control problem of steering this system from given initial data to rest, in time T , by minimizing an objective functional that is the convex sum of the L-norm of the control and of a boundary Neumann tracking term. We provide an explicit solution of this optimal cont...

This paper presents simple sufficient conditions under which optimal bunches in adverse-selection principal-agent problems can be characterized without using optimal control theory.

We introduce the idea of boundary extremals (3.9) in control problems for simple fluid models of queueing systems with Skorokohd dynamics, using the robust formulation of [2, 4]. A simple example is presented in which these extremals play a fundamental role in the construction of the optimal control strategy.

The solution of a stochastic control problem depends on the underlying model. The actual real world model may not be known precisely and so one solves the problem for a hypothetical model, that is in general different but close to the real one; the optimal (or nearly optimal) control of the hypothetical model is then used as solution for the real problem. In this paper we assume that, what is n...