Structural stability without coercivity

Autor: Laura Poggiolini, Gianna Stefani

Publikováno v: Optimization. 71:3327-3350

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f2b5ba0343300e809614530d2f0662ba
https://doi.org/10.1080/02331934.2022.2032696

Singular extremals in L^1 optimal control problems: sufficient optimality conditions

Autor: Laura Poggiolini, Francesca Chittaro

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2020, 26, pp.99. ⟨10.1051/cocv/2020023⟩
ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, pp.99. ⟨10.1051/cocv/2020023⟩

In this paper we are concerned with generalisedL1-minimisation problems,i.e.Bolza problems involving the absolute value of the control with a control-affine dynamics. We establish sufficient conditions for the strong local optimality of extremals giv

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c741b3b848bc9fe044ad73a5d79a944
https://hal.archives-ouvertes.fr/hal-02283396/document

Strong local optimality for bang-bang-singular extremals in single input control problems

Autor: Laura Poggiolini, Gianna Stefani

Publikováno v: IFAC-PapersOnLine. 50:6128-6133

In this paper we consider a Mayer problem for a single input control affine dynamics and we give sufficient conditions for strong local optimality of a reference trajectory, consisting of two bang arcs followed by a singular one. We use a Hamiltonian

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9947df4da69f2974b499756981e14176
https://doi.org/10.1016/j.ifacol.2017.08.2022

Optimality conditions for extremals containing bang and inactivated arcs

Autor: Laura Poggiolini, Francesca Chittaro

Publikováno v: 56th IEEE Conference on Decision and Control
56th IEEE Conference on Decision and Control, Dec 2017, Melbourne, Australia
CDC

We consider a class of optimal control problems with control-affine dynamics and integral cost linear in the absolute value of the control. The Pontryagin extremals associated with such systems are given by (possible) concatenations of bang arcs with

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6c56ca592f337aa5cd345b33f027954
https://hal.archives-ouvertes.fr/hal-01877661

Structural stability of bang-bang trajectories with a double switching time in the minimum time problem

Autor: Laura Poggiolini

Publikováno v: SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2017, 55 (6), pp.3779-3798. ⟨10.1137/16M1083761⟩

International audience; In this paper we consider the problem of structural stability of strong local optimisers for the minimum time problem in the case when the nominal problem has a bang-bang strongly local optimal control which exhibits a double

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::289bc25ceaec33d50cf0f5fe352f0e6c