[PDF] Top 20 On the shooting algorithm for optimal control problems with state constraints

... in the past for reducing the gap between second-order necessary and sufficient optimality conditions for optimization problems in Banach spaces, with so-called cone constraint ... Voir le document complet

... Unite´ de recherche INRIA Lorraine, Technopoˆle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LE`S NANCY Unite´ de recherche INRIA Rennes, Iri[r] ... Voir le document complet

... Unité de recherche INRIA Rocquencourt Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des V[r] ... Voir le document complet

... solving the problem at the very first stage do not have to be questioned later ...on. The notion of information here plays a crucial ...of problems may be consistent for some ... Voir le document complet

... article, the minimum time and fuel consumption of an aircraft in its climbing phase is ...studied. The controls are the thrust and the lift coefficient and state constraints are ... Voir le document complet

... (5) for any suitable second-order tangent z to the constraints, see the exact definition of tangents in Section ...to optimal control problems involving some classes of ... Voir le document complet

... of the set of C ∞ functions over Q, (78) holds. The conclusion ...of the alternative formulation that is useful when for- mulating shooting algorithms; see Bonnans and Hermant [15] ... Voir le document complet

... conditions for these partially affine problems have been studied by Goh in [27, 28, 26, 30], Dmitruk in [20], Dmitruk and Shishov in [21], Bernstein and Zeidan [9], and Maurer and Osmolovskii ...[41]. ... Voir le document complet

... 2, the Cauchy problem is studied in details. Section 3 deals with the existence of optimal controls, the material of these sections is rather standard but is included for ... Voir le document complet

... of the paper. In Section 2 we introduce the problem and the assumptions adopted in the paper, and we state our main result (Theorem ...estimate for the control, ... Voir le document complet

... that the second-order necessary condition are in Pontryagin form if the supre- mum of Ω is taken over the set of Pontryagin multipliers, these multipliers being the Lagrange multipliers ... Voir le document complet

... deterministic control prob- lems with state constraints that is problems where admissible controls are those which keep the state of the system in a given region ... Voir le document complet

... obtain for the first time stability results for optimal control problems with a state constraint of order greater than one without any assumption on the ... Voir le document complet

... in the literature for the resolution of optimal transport problems at a lower computational ...of the state spaces as presented above. One of the most successful ... Voir le document complet

... that the domain K may not be given a priori such a stratified partition, but we assume with (H 0 ) and (H 1 ) that there is at least one such ...Moreover, for technical reasons we also require a ... Voir le document complet

... to the case of a state constraints set K with nonsmooth boundary, were introduced by Ishii and Koike ...modified the notion of solutions, by modifying the ...while the ... Voir le document complet

... and the references therein. However in many practical applications, the state variable is constrained to remain in a given closed set K ( R d , where K takes into account the presence of an ... Voir le document complet

... In the last two decades, the concept of hybrid control system has provided a sound math- ematical framework for treating control systems in which continuous and discrete control ... Voir le document complet

... problem with free initial costate, two free phase times t 1 , t 2 and free nal time would give z = [p(0); t 1 ; t 2 ; t f ] ...les for a given problem will use the same prex, with dierent ... Voir le document complet

... Homotopy Algorithm and Numerical Simulations 6.2.1 Solving (OCP) τ by Shooting Methods and Homotopy on Delays As pointed out previously, the critical behavior coming out from applying indirect ... Voir le document complet