Zălinescu, C. Continuous dependence on data in abstract control problems. (English) Zbl 0521.49021 J. Optimization Theory Appl. 43, 277-306 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 6 Documents MSC: 49K40 Sensitivity, stability, well-posedness 49K27 Optimality conditions for problems in abstract spaces 93C25 Control/observation systems in abstract spaces 46C99 Inner product spaces and their generalizations, Hilbert spaces 49J45 Methods involving semicontinuity and convergence; relaxation 49N15 Duality theory (optimization) 54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) Keywords:perturbations of abstract control problems; convergence in the sense of Mosco; uniformly convex functions; duality mappings; G-convergence PDFBibTeX XMLCite \textit{C. Zălinescu}, J. Optim. Theory Appl. 43, 277--306 (1984; Zbl 0521.49021) Full Text: DOI References: [1] Zolezzi, T.,Characterizations of Some Variational Perturbations of the Abstract Linear Quadratic Problem, SIAM Journal on Control and Optimization, Vol. 16, pp. 106–121, 1978. · Zbl 0391.49019 · doi:10.1137/0316008 [2] Lucchetti, R., andMignanego, F.,Continuous Dependence on the Data in Abstract Control Problems, Journal of Optimization Theory and Applications, Vol. 34, pp. 423–444, 1981. · Zbl 0431.49028 · doi:10.1007/BF00934681 [3] Bennati, M. L.,On the Convergence of the Dual Variables in Optimal Control Problems, Journal of Optimization Theory and Applications, Vol. 34, pp. 263–278, 1981. · Zbl 0431.49026 · doi:10.1007/BF00935476 [4] Zolezzi, T.,Variational Stability and Well-Posedness in the Optimal Control of Ordinary Differential Equations, Paper Presented at the Mathematical Theory of Optimal Control Seminar, Stefan Banach International Center, Warsaw, Poland, 1980. [5] Sonntag, Y.,Interprétation Géométrique de la Convergence d’une Suite de Convexes, Exposé Multigraphié du Séminaire de Mathématiques Appliquées, Université de Provence, 1976. [6] Sonntag, Y.,Convergence au Sense de U. Mosco, Université de Provence, Thèse d’État, 1982. [7] Barbu, V., andPrecupanu, T.,Convexity and Optimization in Banach Spaces, Sijthoff and Noordhoff, Alphen aan de Rijn, Holland, 1978. · Zbl 0379.49010 [8] Rockafellar, R. T.,Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970. · Zbl 0193.18401 [9] ZĂlinescu, C.,On Uniformly Convex Functions, Journal of Mathematical Analysis and Applications, Vol. 95, pp. 344–374, 1983. · Zbl 0519.49010 · doi:10.1016/0022-247X(83)90112-9 [10] ZĂlinescu, C., Duality for Vectorial Nonconvex Optimization by Convexification and Applications, Analele Stiintifice ale Universit306-3tii ”Al. I. Cuza” din Iasi, s. I-a. Matematic306-4, Vol. 29, pp. 15–34, 1983. [11] Diestel, J.,Geometry of Banach spaces–Selected Topics, Springer-Verlag, Berlin, Germany, 1975. · Zbl 0307.46009 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.