We first show the influence of mortality on our model predictions as a robustness check, and second we show that the optimal control is of bang-bang type, with one unique switch, for annuals with constrained growth, fixed season length, and constant mortality. As a robustness check we extend the model with constant background mortality rate m. We assume that the vegetative part grows according ...

While in the first paper of this series of two, optimal jacket fluid temperature control profiles have been derived for a family of dispersive tubular chemical reactors, the performance of these optimal profiles is further assessed in this second part. First, the performance of the optimal bang-bang control is compared with that of a more easily implementable constant jacket fluid temperature a...

Large-scale binary integer programs occur frequently in many real-world applications. For some binary integer problems, finding an optimal solution or even a feasible solution is computationally expensive. In this paper, we develop a discrete meta-control procedure to approximately solve large-scale binary integer programs efficiently. The key idea is to map the vector of n binary decision vari...

In order to avoid wheel slippage or mechanical damage during the mobile robot navigation, it is necessary to smoothly change driving velocity or direction of the mobile robot. This means that dynamic constraints of the mobile robot should be considered in the design of path tracking algorithm. In the study, a path tracking problem is formulated as following a virtual target vehicle which is ass...

In the second order analysis of infinite dimension optimization problems, we have to deal with the so-called two-norm discrepancy. As a consequence of this fact, the second order optimality conditions usually imply local optimality in the L∞ sense. However, we have observed that the L local optimality can be proved for many control problems of partial differential equations. This can be deduced...

We revisit recent results about optimal periodic control for scalar dynamics with input integral constraint, under lack of convexity and concavity. show that in this more general framework, the solutions are bang-singular-bang generalize bang-bang convex case purely singular concave one. introduce a non-local slope condition to characterize arcs. The illustrated on class bioprocesses models.

The paper considers parametric optimal control problems with bang–bang control vector function. For this problem we give regularity and second–order optimality conditions at the nominal solution which are sufficient to: (i) existence and local uniqueness of extremals, (ii) local structure stability, (iii) strong local optimality, under parameter perturbations. Here “local” means in a L∞– neighb...

A model of production funds acquisition, which includes two differential links the zero order and series-connected inertial links, is considered in a one-sector economy. Zero-order correspond to equations Ramsey model. These contain scalar bounded control, determines distribution available into parts: investment consumption. Two describe dynamics changes volume actual at current capacity. For c...

PURPOSE The problem of optimal strategy in cancer chemotherapy is reconsidered. Two incompatible goals should be completed: the number of cancer cells in the patient's body should be reduced and the toxic effect of the therapy should be minimized. Such problem may be formulated in optimal control. The control function is the amount of the drug administered in the time unit. METHODS The Malthu...

The course deals with the analysis of optimal control problems and of the related first order PDEs of dynamic programming. In particular, we shall focus our attention on time optimal control problems for linear and nonlinear systems. We shall present some recent results concerning the regularity and the compactness of viscosity solutions to Hamilton-Jacobi and Hamilton-Jacobi-Bellmann Equations...