On the Existence of Optimal Solutions for Infinite Horizon Optimal Control Problems: Nonconvex and Multicriteria Problems

Dean A. Carlson

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1984)

  • Volume: 77, Issue: 1-2, page 21-27
  • ISSN: 1120-6330

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Carlson, Dean A.. "On the Existence of Optimal Solutions for Infinite Horizon Optimal Control Problems: Nonconvex and Multicriteria Problems." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 77.1-2 (1984): 21-27. <http://eudml.org/doc/287307>.

@article{Carlson1984,
author = {Carlson, Dean A.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {infinite horizon; "relaxed" problem; Cesari-type "conditions Q"; multicriteria optimality; Pareto optimality},
language = {eng},
month = {7},
number = {1-2},
pages = {21-27},
publisher = {Accademia Nazionale dei Lincei},
title = {On the Existence of Optimal Solutions for Infinite Horizon Optimal Control Problems: Nonconvex and Multicriteria Problems},
url = {http://eudml.org/doc/287307},
volume = {77},
year = {1984},
}

TY - JOUR
AU - Carlson, Dean A.
TI - On the Existence of Optimal Solutions for Infinite Horizon Optimal Control Problems: Nonconvex and Multicriteria Problems
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1984/7//
PB - Accademia Nazionale dei Lincei
VL - 77
IS - 1-2
SP - 21
EP - 27
LA - eng
KW - infinite horizon; "relaxed" problem; Cesari-type "conditions Q"; multicriteria optimality; Pareto optimality
UR - http://eudml.org/doc/287307
ER -

References

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  1. ARSTEIN, Z. (1980) - Discrete and Continuous Bang-Bang and Facial Spaces or: Look for the Extreme Points, «SIAM Review», 22, 172-185. Zbl0438.49011MR564562DOI10.1137/1022026
  2. BALDER, E.J. (1983) - An Existence Result for Optimal Economic Growth, «J. Math. Anal. App.», 95, 195-213. Zbl0517.49002MR710427DOI10.1016/0022-247X(83)90143-9
  3. BAUM, R.F. (1976) - Existence Theorems for Lagrange Control Problems With Unbounded Time Domain, «J. Opt. Theory and App.», 19, 89-116. Zbl0305.49002MR425709
  4. CARLSON, D.A. - The Existence of Optimal Solutions for Infinite Horizon Optimal Control Problems, «Rend. Accad. Nazionale Lincei» (to appear). Zbl0619.49002
  5. CARLSON, D.A. (1983) - On the Existence of Optimal Solutions for Infinite Horizon Optimal Control Problems, Ph.D. Dissertation, University of Delaware. Zbl0579.49004MR2633328
  6. CESARI, L. (1983) - Optimization-Theory and Applications, «Applications of Math.», 17, Springer-Verlag, New York. Zbl0506.49001MR688142DOI10.1007/978-1-4613-8165-5
  7. CESARI, L. and SURYANARAYANA, M.B. (1978) - Existence Theorems for Pareto Optimization; Multivalued and Banach Space Valued Functionals, «Trans. Amer. Math. Soc.», 244, 37-65. Zbl0393.49004MR506609DOI10.2307/1997888
  8. ROCKAFELLAR, R.T. (1977) -Integral Functionals, Normal Integrands, and Measurable Selections, in Nonlinear Operators and The Calcidus of Variations (J.P. Gossez et al., Eds.), Lee. Notes in Math. No. 543, Springer-Verlag, New York. Zbl0374.49001MR512209

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