Necessary Conditions of Optimality in the Gamkrelidze's Form for State Constrained Problems With Differential Inclusion

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Khalil, NT (Author) FEUP; Fernando Lobo Pereira (Author) FEUP

Journal

Title: IEEE Control Systems Letters

Vol. 4

Pages: 958-963

Publisher: IEEE

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 1 Citation

Other information

Authenticus ID: P-00S-AH2

DOI: 10.1109/lcsys.2020.2997672

Abstract (EN): In this letter, necessary conditions of optimality in the Gamkrelidze's form for a state constrained optimal control problem whose dynamics are given by a differential inclusion are addressed. This form differs from the more usual Dubovitskii-Milyutin one in that, now, in the Hamiltonian, the measure multiplier appearing in the latter is replaced by a component related to its integral. Nondegeneracy, and normality conditions are discussed for this dynamic optimization problem under several types of sufficient conditions on the data of the problem.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6