Necessary Conditions of Optimality for State Constrained Infinite Horizon Differential Inclusions
| dc.contributor.author | Pereira, Fernando Lobo | |
| dc.contributor.author | Silva, Geraldo Nunes da [UNESP] | |
| dc.contributor.author | IEEE | |
| dc.contributor.institution | Univ Porto | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.date.accessioned | 2020-12-10T22:02:29Z | |
| dc.date.available | 2020-12-10T22:02:29Z | |
| dc.date.issued | 2011-01-01 | |
| dc.description.abstract | This article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. The cost functional depends on the state variable at the final time, and the dynamics are given by a differential inclusion. Moreover, the optimization is carried out over asymptotically convergent state trajectories. The novelty of the proposed optimality conditions for this class of problems is that the boundary condition of the adjoint variable is given as a weak directional inclusion at infinity. This improves on the currently available necessary conditions of optimality for infinite horizon problems. | en |
| dc.description.affiliation | Univ Porto, Fac Engn, Inst Syst & Robot Porto, P-4200465 Oporto, Portugal | |
| dc.description.affiliation | Univ Estadual Paulista, Dept Comp Sci & Stat, Rio De Janeiro, Brazil | |
| dc.description.affiliationUnesp | Univ Estadual Paulista, Dept Comp Sci & Stat, Rio De Janeiro, Brazil | |
| dc.description.sponsorship | FCT | |
| dc.description.sponsorship | Institute for Systems and Robotics Porto | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorshipId | Institute for Systems and Robotics Porto: PTDC/EEA-CRO/104901/2008 | |
| dc.description.sponsorshipId | Institute for Systems and Robotics Porto: PTDC/EEA-CRO/116014/2009 | |
| dc.format.extent | 6717-6722 | |
| dc.identifier.citation | 2011 50th Ieee Conference On Decision And Control And European Control Conference (cdc-ecc). New York: Ieee, p. 6717-6722, 2011. | |
| dc.identifier.issn | 0743-1546 | |
| dc.identifier.uri | http://hdl.handle.net/11449/197409 | |
| dc.identifier.wos | WOS:000303506207056 | |
| dc.language.iso | eng | |
| dc.publisher | Ieee | |
| dc.relation.ispartof | 2011 50th Ieee Conference On Decision And Control And European Control Conference (cdc-ecc) | |
| dc.source | Web of Science | |
| dc.title | Necessary Conditions of Optimality for State Constrained Infinite Horizon Differential Inclusions | en |
| dc.type | Trabalho apresentado em evento | |
| dcterms.license | http://www.ieee.org/publications_standards/publications/rights/rights_policies.html | |
| dcterms.rightsHolder | Ieee |