The existence of optimal solutions for infinite horizon optimal control problems

Dean A. Carlson

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

  • Volume: 76, Issue: 6, page 353-358
  • ISSN: 0392-7881

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Carlson, Dean A.. "The existence of optimal solutions for infinite horizon optimal control problems." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 76.6 (1984): 353-358. <http://eudml.org/doc/289263>.

@article{Carlson1984,
author = {Carlson, Dean A.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {6},
number = {6},
pages = {353-358},
publisher = {Accademia Nazionale dei Lincei},
title = {The existence of optimal solutions for infinite horizon optimal control problems},
url = {http://eudml.org/doc/289263},
volume = {76},
year = {1984},
}

TY - JOUR
AU - Carlson, Dean A.
TI - The existence of optimal solutions for infinite horizon optimal control problems
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1984/6//
PB - Accademia Nazionale dei Lincei
VL - 76
IS - 6
SP - 353
EP - 358
LA - eng
UR - http://eudml.org/doc/289263
ER -

References

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  1. BALDER, E.J. (1983) - An Existence Result for Optimal Economic Growth, «J. Math. Anal. Appl.», 95, 195-213. 
  2. BATES, G.R. (1978) - Lower Closure and Existence Theorems for Optimal Control Problems with Infinite Horizon, «J. Optim. Theory Appl.», 24, 639-649. 
  3. BAUM, R.F. (1976) - Existence Theorems for Lagrange Control Problems with Unbounded Time Domain, «J. Optim. Theory Appl.», 19, 89-116. 
  4. BROCK, W.A. and HAURIE, A. (1976) - On the Existence of Overtaking Optimal Trajectories Over an Infinite Time Horizon, «Math. Oper. Res.», 1, 337-346. 
  5. CARLSON, D.A. (1983) — On the Existence of Optimal Solutions for Infinite Horizon Optimal Control Problems, Ph.D. Dissertation, Univ. of Delaware. 
  6. CESARI, L. (1983) - Optimization. Theory and Applications, «Appl. of Math.», 11, Springer-Verlag, New York. 
  7. CHAKRAVARTY, S. (1962) - The Existence of an Optimum Program, «Econometrica», 30, 178-187. 
  8. CINQUINI, S. (1940) - Una Nuova Estensione dei Moderni Methodi de Calcolo delle Variazioni, «Annali della Scuola Normale Superiore di Pisa», Sez. 2, 9, 258-261. 
  9. HAURIE, A. (1980) - Existence and Global Asymptotic Stability of Optimal Trajectories for a class of Infinite Horizon Nonconvex Systems, «J. Optim. Theory Appl.», 31, 515-533. 
  10. ROCKAFELLAR, R.T. (1977) - Integral Functionals, Normal Integrands, and Measurable Selections, in «Nonlinear Operators and The Calculus of Variations» (J.P. Gossez et al., Eds.), Lec. Notes in Math. No. 543, Springer-Verlag, New York. 
  11. YANO, M. (1981) - A Note on The Existence of an Optimal Capital Accumulation in The Continuous Time Horizon, «J. Econ. Theory», 22, 421-429. 

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