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Control of an equation by maximum principle

Cilt: 4 Sayı: 2 1 Mart 2016
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Control of an equation by maximum principle

Öz

In this paper, some results, which are related to well posedness, controllability and optimal control of a beam equation, are presented. In order to obtain the optimal control function, maximum principle is employed. Performance index function is defined as quadratic functional of displacement and velocity and also includes a penalty in terms of control function. The solution of the control problem is formulated by using Galerkin expansion. Obtained results are given in the table and graphical forms.


Anahtar Kelimeler

Kaynakça

  1. F. H. Clarke, Maximum principle under minimal hypotheses, SIAM J. Control Optimization, 14(1976), 1078-1091.
  2. H. F. Guliyev, K. S. Jabbarova, The exact controllability problem for the second order linear hyperbolic equation, Differential Equations and Control Processes,(2010).
  3. E. B. Lee, A sufficient condition in the theory of optimal control, SIAM Journal on Control, 1(1963), 241-245.
  4. K. Yildirim, I. Kucuk, Active piezoelectric vibration control for a Timoshenko beam, Journal of the Franklin Institute, (2015).
  5. Barnes, E. A., Necessary and sufficient optimality conditions for a class of distributed parameter control systems, SIAM Journal on Control, 9(1971), 62-82.
  6. Kucuk, I., Yildirim, K., Sadek, I., Adali, S., Optimal control of a beam with Kelvin-Voigt damping subject to forced vibrations using a piezoelectric patch actuator, Journal of Vibration and Control, (2013).
  7. Kucuk, I., Yildirim, K., Necessary and Sufficient Conditions of Optimality for a Damped Hyperbolic Equation in One Space Dimension, Abstract and Applied Analysis, Art. ID 493130(2014), 10 pages.
  8. Kucuk, I., Yildirim, K., Adali, S., Optimal piezoelectric control of a plate subject to time-dependent boundary moments and forcing function for vibration damping, Computers and Mathematics with Applications, 69(2015), 291-303.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Orhan Kutlu Bu kişi benim
Türkiye

Yayımlanma Tarihi

1 Mart 2016

Gönderilme Tarihi

28 Eylül 2015

Kabul Tarihi

19 Kasım 2015

Yayımlandığı Sayı

Yıl 2016 Cilt: 4 Sayı: 2

Kaynak Göster

APA
Yıldırım, K., & Kutlu, O. (2016). Control of an equation by maximum principle. New Trends in Mathematical Sciences, 4(2), 147-158. https://izlik.org/JA99ND73AT
AMA
1.Yıldırım K, Kutlu O. Control of an equation by maximum principle. New Trends in Mathematical Sciences. 2016;4(2):147-158. https://izlik.org/JA99ND73AT
Chicago
Yıldırım, Kenan, ve Orhan Kutlu. 2016. “Control of an equation by maximum principle”. New Trends in Mathematical Sciences 4 (2): 147-58. https://izlik.org/JA99ND73AT.
EndNote
Yıldırım K, Kutlu O (01 Mart 2016) Control of an equation by maximum principle. New Trends in Mathematical Sciences 4 2 147–158.
IEEE
[1]K. Yıldırım ve O. Kutlu, “Control of an equation by maximum principle”, New Trends in Mathematical Sciences, c. 4, sy 2, ss. 147–158, Mar. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA99ND73AT
ISNAD
Yıldırım, Kenan - Kutlu, Orhan. “Control of an equation by maximum principle”. New Trends in Mathematical Sciences 4/2 (01 Mart 2016): 147-158. https://izlik.org/JA99ND73AT.
JAMA
1.Yıldırım K, Kutlu O. Control of an equation by maximum principle. New Trends in Mathematical Sciences. 2016;4:147–158.
MLA
Yıldırım, Kenan, ve Orhan Kutlu. “Control of an equation by maximum principle”. New Trends in Mathematical Sciences, c. 4, sy 2, Mart 2016, ss. 147-58, https://izlik.org/JA99ND73AT.
Vancouver
1.Kenan Yıldırım, Orhan Kutlu. Control of an equation by maximum principle. New Trends in Mathematical Sciences [Internet]. 01 Mart 2016;4(2):147-58. Erişim adresi: https://izlik.org/JA99ND73AT