Abstract In this article, we present a new strategy to determine an unmanned aerial vehicle trajectory that minimizes its flight time in presence of avoidance areas and obstacles. The method combines classical results from optimal control theory, i.e. the Euler-Lagrange Theorem Pontryagin Minimum Principle, with continuation technique dynamically adapts solution curve We initially consider two-...

Two production systems with inventory-level-dependent demand are considered and Pontryagin maximum principle is used to determine the optimal control.

High fidelity quantum state transfer is an essential part of information processing. In this regard, we address the problem maximizing in a transformation process satisfying Liouville-von Neumann equation. By introducing as performance index, aim at similarity final density operator with one desired target state. Optimality conditions form Maximum Principle Pontryagin are given for matrix-value...

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...

This paper introduces and studies a field theoretic analogue of the Clebsch variational principle of classical mechanics. This principle yields an alternative derivation of the covariant Euler-Poincaré equations that naturally includes covariant Clebsch variables via multisymplectic momentum maps. In the case of diffeomorphism groups, this approach gives a new interpretation of recently derived...