Research Article

On Signomial Constrained Optimal Control Problems

Volume: 2 Number: 1 March 22, 2019
Savin Treanta *
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Communications in Advanced Mathematical Sciences Cover Communications in Advanced Mathematical Sciences
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On Signomial Constrained Optimal Control Problems

Abstract

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.

Keywords

Optimal control,Maximum principle,Variational differential system,Adjoint differential system,Modified Legendrian duality

References

  1. [1] L.C. Evans, An Introduction to Mathematical Optimal Control Theory,Lecture Notes, University of California, Department of Mathematics,Berkeley, (2008).
  2. [2] E.B. Lee, L. Markus, Foundations of Optimal Control Theory, Wiley,(1967).
  3. [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. [4] L. Pontriaguine, V. Boltianski, R. Gamkrelidze, E. Michtchenko,Theorie Mathematique des Processus Optimaux, Edition Mir Moscou,(1974).
  5. [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. [6] S. Treanta, C. Udriste, Optimal control problems with higher order ODEsconstraints, Balkan J. Geom. Appl., 18, 1, 71-86, (2013).
  7. [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. [8] S. Treanta, Local uncontrollability for affine control systems with jumps,International Journal of Control, 90, 9, 1893-1902, (2017).
  9. [9] S. Treanta, M. Arana-Jimenez, KT-pseudoinvex multidimensional con-trol problem, Optim. Control Appl. Meth., 39, 4, 1291-1300, (2018).
  10. [10] C. Udriste, Simplified multitime maximum principle, Balkan J. Geom.Appl., 14, 1, 102-119, (2009).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

March 22, 2019

Submission Date

November 13, 2018

Acceptance Date

January 14, 2019

Published in Issue

Year 2019 Volume: 2 Number: 1

DOI

https://doi.org/10.33434/cams.482470

IZ

https://izlik.org/JA68SS89EL

Cite

RIS / Bibtex
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
1.Treanta S. On Signomial Constrained Optimal Control Problems. Communications in Advanced Mathematical Sciences. 2019;2(1):55-59. doi:10.33434/cams.482470
Chicago
Treanta, Savin. 2019. “On Signomial Constrained Optimal Control Problems”. Communications in Advanced Mathematical Sciences 2 (1): 55-59. https://doi.org/10.33434/cams.482470.
EndNote
Treanta S (March 1, 2019) On Signomial Constrained Optimal Control Problems. Communications in Advanced Mathematical Sciences 2 1 55–59.
IEEE
[1]S. Treanta, “On Signomial Constrained Optimal Control Problems”, Communications in Advanced Mathematical Sciences, vol. 2, no. 1, pp. 55–59, Mar. 2019, doi: 10.33434/cams.482470.
ISNAD
Treanta, Savin. “On Signomial Constrained Optimal Control Problems”. Communications in Advanced Mathematical Sciences 2/1 (March 1, 2019): 55-59. https://doi.org/10.33434/cams.482470.
JAMA
1.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, vol. 2, no. 1, Mar. 2019, pp. 55-59, doi:10.33434/cams.482470.
Vancouver
1.Savin Treanta. On Signomial Constrained Optimal Control Problems. Communications in Advanced Mathematical Sciences. 2019 Mar. 1;2(1):55-9. doi:10.33434/cams.482470

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