We consider a class of hybrid nonlinear optimal control problems having a discontinuous dynamics ruled by a partition of the state space. For this class of problem, some hybrid versions of the usual Pontryagin Maximum Principle are known. We introduce general regularization procedures, parameterized by a small parameter, smoothing the previous hybrid problems to standard smooth optimal control ...

We give a new time-dependent definition of spline curves in Rn, which extends a recent definition of vector-valued splines introduced by Rodrigues and Silva Leite for the time-independent case. Previous results are based on a variational approach, with lengthy arguments, which do not cover the non-autonomous situation. We show that the previous results are a consequence of the Pontryagin maximu...

In this paper we consider optimal sampled-data control problems on time scales with inequality state constraints. A Pontryagin maximum principle is established, extending to the constrained case existing results in scale literature. The proof based Ekeland variational and concept of implicit spike variations adapted setting. main result then applied continuous-time min-max problems, a maximal v...

in this paper, finding dynamic load carrying capacity (dlcc) of flexible link manipulators in point to-point motion was formulated as an optimal control problem. the finite element method was employed for modelling and deriving the dynamic equations of the system. the study employed indirect solution of optimal control for system motion planning. due to offline nature of the method, many diffic...

We consider a time-optimal problem for the Reeds and Shepp model describing a moving point on a plane, with a onesided variation of the speed and a free final direction of velocity. Using Pontryagin Maximum Principle, we obtain all possible types of extremals and, analyzing them and discarding nonoptimal ones, construct the optimal synthesis.

Abstract: According to the goal of the Conference in Bedlewo, dedicated to the 50-th anniversary of Optimal Control theory, and considering that the 2008 year marked the centennial birthday of Lev Semenovich Pontryagin, I decided to devote my talk to a brief account on the discovery of the maximum principle and to an analysis of its basic feature, the Hamiltonian format.