Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
This paper presents the variational approach to some optimization problems: Mayer's problem with or without constraints on the final point, local controllability of a trajectory, time-optimal problems.
Czasopismo
Rocznik
Tom
Numer
Strony
83-94
Opis fizyczny
Daty
wydano
1995
Twórcy
autor
- Department of Mathematics U. Dini, University of Florence, Viale Morgagni 67/A, 50134 Firenze, Italy
Bibliografia
- [1] M. S. Bazaraa and C. M. Shetty, Foundations of Optimization, Lecture Notes in Econom. and Math. Systems 122, Springer, Berlin, 1976.
- [2] R. M. Bianchini and G. Stefani, Controllability along a reference trajectory: a variational approach, SIAM J. Control Optim. 31 (1993), 900-927.
- [3] A. I. Dubovickiĭ and A. M. Miljutin, Extremum problems with constraints, J. Soviet Math. 4 (1963), 452-455.
- [4] K. Grasse, Controllability and accessibility in nonlinear control systems, PhD thesis, University of Illinois at Urbana-Champaign, 1979.
- [5] M. R. Hestenes, Calculus of Variations and Optimal Control Theory, Wiley, New York, 1966.
- [6] E. B. Lee and L. Markus, Foundations of Optimal Control Theory, Wiley, New York, 1967.
- [7] E. S. Polovinkin and G. V. Smirnov, An approach to the differentiation of many-valued mappings and necessary conditions for optimization of solutions of differential inclusions, Differencial'nye Uravnenija 22 (1986), 944-954.
- [8] R. T. Rockafellar, Clarke's tangent cones and the boundaries of closed convex sets in $R^n$, Nonlinear Anal. 3 (1979), 145-154.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-bcpv32z1p83bwm