ArticleOriginal scientific text
Title
Variational approach to some optimization control problems
Authors 1
Affiliations
- Department of Mathematics U. Dini, University of Florence, Viale Morgagni 67/A, 50134 Firenze, Italy
Abstract
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.
Keywords
tangent vectors, variational cone, local controllability, Mayer's optimization problem
Bibliography
- M. S. Bazaraa and C. M. Shetty, Foundations of Optimization, Lecture Notes in Econom. and Math. Systems 122, Springer, Berlin, 1976.
- R. M. Bianchini and G. Stefani, Controllability along a reference trajectory: a variational approach, SIAM J. Control Optim. 31 (1993), 900-927.
- A. I. Dubovickiĭ and A. M. Miljutin, Extremum problems with constraints, J. Soviet Math. 4 (1963), 452-455.
- K. Grasse, Controllability and accessibility in nonlinear control systems, PhD thesis, University of Illinois at Urbana-Champaign, 1979.
- M. R. Hestenes, Calculus of Variations and Optimal Control Theory, Wiley, New York, 1966.
- E. B. Lee and L. Markus, Foundations of Optimal Control Theory, Wiley, New York, 1967.
- 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.
- R. T. Rockafellar, Clarke's tangent cones and the boundaries of closed convex sets in
Pages:
83-94
Main language of publication
English
Published
1995
Exact and natural sciences