Necessary conditions for infinite-dimensional control problems
Fattorini, H.O.; Frankowska, Halina (1991), Necessary conditions for infinite-dimensional control problems, Mathematics of Control, Signals, and Systems, 4, 1, p. 41-67. http://dx.doi.org/10.1007/BF02551380
Type
Article accepté pour publication ou publiéDate
1991Journal name
Mathematics of Control, Signals, and SystemsVolume
4Number
1Publisher
Springer
Pages
41-67
Publication identifier
Metadata
Show full item recordAbstract (EN)
We consider infinite-dimensional nonlinear programming problems which consist of minimizing a functionf 0(u) under a target set constraint. We obtain necessary conditions for minima that reduce to the Kuhn-Tucker conditions in the finite-dimensional case. Among other applications of these necessary conditions and related results, we derive Pontryagin’s maximum principle for a class of control systems described by semilinear equations in Hilbert space and study convergence properties of sequences of near-optimal controls for these systems.Subjects / Keywords
Lagrange multiplier rule; Kuhn-Tucker conditions; Maximum principle; Optimal controls; Approximately optimal controlsRelated items
Showing items related by title and author.
-
Frankowska, Halina (1985) Article accepté pour publication ou publié
-
Frankowska, Hélène; Tonon, Daniela (2013) Communication / Conférence
-
Cannarsa, Piermarco; Frankowska, Halina (1992) Article accepté pour publication ou publié
-
A priori estimates for operational differential inclusions and necessary conditions for optimality Frankowska, Halina (1990) Communication / Conférence
-
Cannarsa, Piermarco; Frankowska, Halina; Sinestrari, Carlo (2000) Article accepté pour publication ou publié