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On Signomial Constrained Optimal Control Problems

Yıl 2019, Cilt: 2 Sayı: 1, 55 - 59, 22.03.2019
https://doi.org/10.33434/cams.482470

Öz

In this paper, using the notions of variational differential system, adjoint differential system and modified Legendrian duality, we formulate and prove necessary optimality conditions in signomial constrained optimal control problems.

Kaynakça

  • [1] L.C. Evans, An Introduction to Mathematical Optimal Control Theory,Lecture Notes, University of California, Department of Mathematics,Berkeley, (2008).
  • [2] E.B. Lee, L. Markus, Foundations of Optimal Control Theory, Wiley,(1967).
  • [3] St. Mititelu, S. Treanta, Efficiency conditions in vector control problemsgoverned by multiple integrals, J. Appl. Math. Comput., 57, 1-2, 647-665,(2018).
  • [4] L. Pontriaguine, V. Boltianski, R. Gamkrelidze, E. Michtchenko,Theorie Mathematique des Processus Optimaux, Edition Mir Moscou,(1974).
  • [5] S. Treanta, C. Varsan, Weak small controls and approximations asso-ciated with controllable affine control systems, Journal of DifferentialEquations, 255, 7, 1867-1882, (2013).
  • [6] S. Treanta, C. Udriste, Optimal control problems with higher order ODEsconstraints, Balkan J. Geom. Appl., 18, 1, 71-86, (2013).
  • [7] S. Treanta, Optimal control problems on higher order jet bundles, BSGProceedings 21. The International Conference "Differential Geometry- Dynamical Systems" DGDS-2013, October 10-13, 2013, Bucharest-Romania. Balkan Society of Geometers, Geometry Balkan Press 2014,pp. 181-192.
  • [8] S. Treanta, Local uncontrollability for affine control systems with jumps,International Journal of Control, 90, 9, 1893-1902, (2017).
  • [9] S. Treanta, M. Arana-Jimenez, KT-pseudoinvex multidimensional con-trol problem, Optim. Control Appl. Meth., 39, 4, 1291-1300, (2018).
  • [10] C. Udriste, Simplified multitime maximum principle, Balkan J. Geom.Appl., 14, 1, 102-119, (2009).
  • [11] M. Wagner, Pontryagin's Maximum Principle for Dieudonne-RashevskyType Problems Involving Lipcshitz functions, Optimization, 46, 2, 165-184, (1999).
Yıl 2019, Cilt: 2 Sayı: 1, 55 - 59, 22.03.2019
https://doi.org/10.33434/cams.482470

Öz

Kaynakça

  • [1] L.C. Evans, An Introduction to Mathematical Optimal Control Theory,Lecture Notes, University of California, Department of Mathematics,Berkeley, (2008).
  • [2] E.B. Lee, L. Markus, Foundations of Optimal Control Theory, Wiley,(1967).
  • [3] St. Mititelu, S. Treanta, Efficiency conditions in vector control problemsgoverned by multiple integrals, J. Appl. Math. Comput., 57, 1-2, 647-665,(2018).
  • [4] L. Pontriaguine, V. Boltianski, R. Gamkrelidze, E. Michtchenko,Theorie Mathematique des Processus Optimaux, Edition Mir Moscou,(1974).
  • [5] S. Treanta, C. Varsan, Weak small controls and approximations asso-ciated with controllable affine control systems, Journal of DifferentialEquations, 255, 7, 1867-1882, (2013).
  • [6] S. Treanta, C. Udriste, Optimal control problems with higher order ODEsconstraints, Balkan J. Geom. Appl., 18, 1, 71-86, (2013).
  • [7] S. Treanta, Optimal control problems on higher order jet bundles, BSGProceedings 21. The International Conference "Differential Geometry- Dynamical Systems" DGDS-2013, October 10-13, 2013, Bucharest-Romania. Balkan Society of Geometers, Geometry Balkan Press 2014,pp. 181-192.
  • [8] S. Treanta, Local uncontrollability for affine control systems with jumps,International Journal of Control, 90, 9, 1893-1902, (2017).
  • [9] S. Treanta, M. Arana-Jimenez, KT-pseudoinvex multidimensional con-trol problem, Optim. Control Appl. Meth., 39, 4, 1291-1300, (2018).
  • [10] C. Udriste, Simplified multitime maximum principle, Balkan J. Geom.Appl., 14, 1, 102-119, (2009).
  • [11] M. Wagner, Pontryagin's Maximum Principle for Dieudonne-RashevskyType Problems Involving Lipcshitz functions, Optimization, 46, 2, 165-184, (1999).
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Savin Treanta 0000-0001-8209-3869

Yayımlanma Tarihi 22 Mart 2019
Gönderilme Tarihi 13 Kasım 2018
Kabul Tarihi 14 Ocak 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 1

Kaynak Göster

APA Treanta, S. (2019). On Signomial Constrained Optimal Control Problems. Communications in Advanced Mathematical Sciences, 2(1), 55-59. https://doi.org/10.33434/cams.482470
AMA Treanta S. On Signomial Constrained Optimal Control Problems. Communications in Advanced Mathematical Sciences. Mart 2019;2(1):55-59. doi:10.33434/cams.482470
Chicago Treanta, Savin. “On Signomial Constrained Optimal Control Problems”. Communications in Advanced Mathematical Sciences 2, sy. 1 (Mart 2019): 55-59. https://doi.org/10.33434/cams.482470.
EndNote Treanta S (01 Mart 2019) On Signomial Constrained Optimal Control Problems. Communications in Advanced Mathematical Sciences 2 1 55–59.
IEEE S. Treanta, “On Signomial Constrained Optimal Control Problems”, Communications in Advanced Mathematical Sciences, c. 2, sy. 1, ss. 55–59, 2019, doi: 10.33434/cams.482470.
ISNAD Treanta, Savin. “On Signomial Constrained Optimal Control Problems”. Communications in Advanced Mathematical Sciences 2/1 (Mart 2019), 55-59. https://doi.org/10.33434/cams.482470.
JAMA Treanta S. On Signomial Constrained Optimal Control Problems. Communications in Advanced Mathematical Sciences. 2019;2:55–59.
MLA Treanta, Savin. “On Signomial Constrained Optimal Control Problems”. Communications in Advanced Mathematical Sciences, c. 2, sy. 1, 2019, ss. 55-59, doi:10.33434/cams.482470.
Vancouver Treanta S. On Signomial Constrained Optimal Control Problems. Communications in Advanced Mathematical Sciences. 2019;2(1):55-9.

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