In this work, we study the problem of maximizing microbial production within a continuous stirred-tank reactor with n ≥ 1 species and one substrate. The interaction between is described by chemostat system including mutation factor. optimization falls into an optimal control Lagrange type in which parameter dilution rate reactor. Thanks to Pontryagin Maximum Principle, obtain necessary conditio...

Abstract We study the selective and robust time-optimal rotation control of several spin-1/2 particles with different offset terms. For that purpose, Pontryagin maximum principle is applied to a model two spins, which simple enough for analytic computations sufficiently complex describe inhomogeneity effects. find controls are respectively described by singular regular trajectories. Using geome...

This paper provides an analysis of weak, Pontryagin and bounded strong minima satisfying a quadratic growth condition for optimal control problems of ordinary differential equations with constraints on initial-final state and pointwise constraints of two types: (a) inequality and equality mixed (control-state) constraints satisfying the hypothesis of uniform linear independence of gradients wit...

In this paper we provide a Pontryagin maximum principle for optimal sampled-data control problems with nonsmooth Mayer cost function. Our investigation leads us to consider, in first place, general issue on convex sets separation. Precisely, thanks the classical Fan's minimax theorem, establish existence of universal separating vector which belongs envelope given set vectors singletons compact ...

We consider the approximation of some optimal control problems for Navier-Stokes equation via a Dynamic Programming approach. These arise in many industrial applications and are very challenging from numerical point view since semi-discretization dynamics corresponds to an evolutive system ordinary differential equations high-dimension. The typical approach is based on Pontryagin maximum princi...

Abstract The time minimization problem with admissible control in a half-disc is considered on the group of motions plane. system under study provides model car plane that can move forwards or rotate place. Optimal trajectories such are used to detect salient curves image analysis. In particular, medical analysis for tracking vessels retinal images. independent interest geometric theory: it exa...

This paper formulates an optimal control model of COVID-19 pandemic spreading. We discuss the health sector performance Argentina, Hungary, Egypt, Malaysia, and Iraq. A mathematical describes actual case number COVID-19. investigate three strategies depend on recovery rate, death together (optimal). These represent percent development. The explicit solution using Pontryagin maximum principle is...

The aim of this notes is to give a concise introduction control theory for systems governed by stochastic partial differential equations. We shall mainly focus on controllability and optimal problems these systems. For the first one, we present results exact transport equations, null approximate parabolic equations lack hyperbolic second introduce linear quadratic t...

Part I of this paper introduced the notion of implicit Lagrangian systems and their geometric structure was explored in the context of Dirac structures. In this part, we develop the variational structure of implicit Lagrangian systems. Specifically, we show that the implicit Euler-Lagrange equations can be formulated using an extended variational principle of Hamilton called the Hamilton-Pontry...