Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, Cilt: 10 Sayı: 2, 40 - 48, 31.08.2021

Öz

Kaynakça

  • B. S. Mordukhovich., Variational Analysis and Generalized Differentiation, I: Basic Theory, Springer, 2013.
  • A. Gill, Linear Sequential Machines, Nauka, (Russian), 1975.
  • I. V. Gaishun, Completely Solvable Multidimensional Differential Equations, Nauka and Tekhnika, Minsk, 1983.
  • Y. M. Yermolyev, Stochastic Programming Methods, Nauka (in Russian), 1976.
  • R. Bellman, Dynamic Programming, Princeton University Press, Princeton, 1957.
  • L. S. Pontryagin, V. G. Boltyanskii, Gamkrelidze, Mishchenko., The Mathematical Theory of Optimal Processes, Interscience Publishers, New York, 1962.
  • V. G. Boltyanskii, Optimal Control of Discrete Systems, John Willey, New York, 1978.
  • R. G. Farajov, Linear Sequential Machines, Sov. Radio, (in Russian), 1975.
  • J. A. Anderson, Discrete Mathematics with Combinatorics, Prentice-Hall, New Jersey, 2004.
  • R. Gabasov, F. M Kirillova, N. S. Paulianok, Optimal Control of Linear Systems on Quadratic Performance Index, Applied and Computational Mathematics, 12(1), (2008), 4-20.
  • R. Gabasov, F. M. Kirillova, E. S. Payasok, Robust Optimal Control on Imperfect Measurements of Dynamic Systems States, Applied and Computational Mathematics, 8(1), (2009), 54-69.
  • J. F. Bonnans, C. S. Fernandez de la Vega, Optimal Control of State Constrained Integral Equations, Set-Valued and Variational Analysis. 18 (3-4), (2010), 307-326.
  • V. Azhmyakov, M. V. Basın, A. E. G. Garcia, Optimal Control Processes Associated with a Class of Discontinuous Control Systems: Applications to Sliding Mode Dynamics, Kybernetika, 50(1), (2014), 5-18.
  • Y. Hacı, M. Candan, On the Principle of Optimality for Linear Stochastic Dynamic System, International Journal in Foundations of Computer Science and Technology. 6(1), (2016), 57-63.
  • Y. Hacı, K. Özen, Terminal Control Problem for Processes Represented by Nonlinear Multi Binary Dynamic System, Control and Cybernetics, 38(3), (2009), 625-633.
  • F. G. Feyziyev, A. M. Babavand, Description of decoding of cyclic codes in the class of sequential machines based on the Meggitt theorem. Automatic Control and Computer Sciences 46, (2012), 164–169.

Optimal control processes associated with a class of stochastic sequential dynamical systems based on a parameter

Yıl 2021, Cilt: 10 Sayı: 2, 40 - 48, 31.08.2021

Öz

This paper examines the optimal control processes represented by stochastic sequential dynamic systems involving a parameter obtained by unique solution conditions concerning constant input values. Then, the principle of optimality is proven for the considered process. Afterwards, the Bellman equation is constructed by applying the dynamic programming method. Moreover, a particular set defined as an accessible set is established to show the existence of an optimal control problem. Finally, it is discussed the need for further research.

Kaynakça

  • B. S. Mordukhovich., Variational Analysis and Generalized Differentiation, I: Basic Theory, Springer, 2013.
  • A. Gill, Linear Sequential Machines, Nauka, (Russian), 1975.
  • I. V. Gaishun, Completely Solvable Multidimensional Differential Equations, Nauka and Tekhnika, Minsk, 1983.
  • Y. M. Yermolyev, Stochastic Programming Methods, Nauka (in Russian), 1976.
  • R. Bellman, Dynamic Programming, Princeton University Press, Princeton, 1957.
  • L. S. Pontryagin, V. G. Boltyanskii, Gamkrelidze, Mishchenko., The Mathematical Theory of Optimal Processes, Interscience Publishers, New York, 1962.
  • V. G. Boltyanskii, Optimal Control of Discrete Systems, John Willey, New York, 1978.
  • R. G. Farajov, Linear Sequential Machines, Sov. Radio, (in Russian), 1975.
  • J. A. Anderson, Discrete Mathematics with Combinatorics, Prentice-Hall, New Jersey, 2004.
  • R. Gabasov, F. M Kirillova, N. S. Paulianok, Optimal Control of Linear Systems on Quadratic Performance Index, Applied and Computational Mathematics, 12(1), (2008), 4-20.
  • R. Gabasov, F. M. Kirillova, E. S. Payasok, Robust Optimal Control on Imperfect Measurements of Dynamic Systems States, Applied and Computational Mathematics, 8(1), (2009), 54-69.
  • J. F. Bonnans, C. S. Fernandez de la Vega, Optimal Control of State Constrained Integral Equations, Set-Valued and Variational Analysis. 18 (3-4), (2010), 307-326.
  • V. Azhmyakov, M. V. Basın, A. E. G. Garcia, Optimal Control Processes Associated with a Class of Discontinuous Control Systems: Applications to Sliding Mode Dynamics, Kybernetika, 50(1), (2014), 5-18.
  • Y. Hacı, M. Candan, On the Principle of Optimality for Linear Stochastic Dynamic System, International Journal in Foundations of Computer Science and Technology. 6(1), (2016), 57-63.
  • Y. Hacı, K. Özen, Terminal Control Problem for Processes Represented by Nonlinear Multi Binary Dynamic System, Control and Cybernetics, 38(3), (2009), 625-633.
  • F. G. Feyziyev, A. M. Babavand, Description of decoding of cyclic codes in the class of sequential machines based on the Meggitt theorem. Automatic Control and Computer Sciences 46, (2012), 164–169.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Muhammet Candan 0000-0002-3654-1816

Yayımlanma Tarihi 31 Ağustos 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 10 Sayı: 2

Kaynak Göster

APA Candan, M. (2021). Optimal control processes associated with a class of stochastic sequential dynamical systems based on a parameter. Journal of New Results in Science, 10(2), 40-48.
AMA Candan M. Optimal control processes associated with a class of stochastic sequential dynamical systems based on a parameter. JNRS. Ağustos 2021;10(2):40-48.
Chicago Candan, Muhammet. “Optimal Control Processes Associated With a Class of Stochastic Sequential Dynamical Systems Based on a Parameter”. Journal of New Results in Science 10, sy. 2 (Ağustos 2021): 40-48.
EndNote Candan M (01 Ağustos 2021) Optimal control processes associated with a class of stochastic sequential dynamical systems based on a parameter. Journal of New Results in Science 10 2 40–48.
IEEE M. Candan, “Optimal control processes associated with a class of stochastic sequential dynamical systems based on a parameter”, JNRS, c. 10, sy. 2, ss. 40–48, 2021.
ISNAD Candan, Muhammet. “Optimal Control Processes Associated With a Class of Stochastic Sequential Dynamical Systems Based on a Parameter”. Journal of New Results in Science 10/2 (Ağustos 2021), 40-48.
JAMA Candan M. Optimal control processes associated with a class of stochastic sequential dynamical systems based on a parameter. JNRS. 2021;10:40–48.
MLA Candan, Muhammet. “Optimal Control Processes Associated With a Class of Stochastic Sequential Dynamical Systems Based on a Parameter”. Journal of New Results in Science, c. 10, sy. 2, 2021, ss. 40-48.
Vancouver Candan M. Optimal control processes associated with a class of stochastic sequential dynamical systems based on a parameter. JNRS. 2021;10(2):40-8.


EBSCO 30456

Electronic Journals Library EZB   30356

 DOAJ   30355                                             

WorldCat  30357                                             303573035530355

Academindex   30358

SOBİAD   30359

Scilit   30360


29388 As of 2021, JNRS is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).