Vartiational Optimal-Control Problems with Delayed Arguments on Time Scales

被引：0
作者：
Thabet Abdeljawad (Maraaba)
Fahd Jarad
Dumitru Baleanu
机构：
[1] Çankaya University,Department of Mathematics and Computer Science
[2] Institute of Space Sciences,undefined
来源：
Advances in Difference Equations | / 2009卷
关键词：
Optimal Control Problem; Performance Index; Quantum Case; Jump Operator; Order Linear Differential Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with variational optimal-control problems on time scales in the presence of delay in the state variables. The problem is considered on a time scale unifying the discrete, the continuous, and the quantum cases. Two examples in the discrete and quantum cases are analyzed to illustrate our results.
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  • [1] Rosenblueth JF(1988)Systems with time delay in the calculus of variations: a variational approach IMA Journal of Mathematical Control and Information 5 125-145
  • [2] Hilger S(1990)Analysis on measure chains, a unified approach to continuous and discrete calculus Results in Mathematics 18 18-56
  • [3] Atici FM(2006)An application of time scales to economics Mathematical and Computer Modelling 43 718-726
  • [4] Biles DC(2003)Integration on time scales Journal of Mathematical Analysis and Applications 285 107-127
  • [5] Lebedinsky A(2009)Isoperimetric problems on time scales with nabla derivatives Journal of Vibration and Control 15 951-958
  • [6] Guseinov GSh(2004)Calculus of variations on time scales Dynamic Systems and Applications 13 339-349
  • [7] Almeida R(2007)Remarks on the calculus of variations on time scales International Journal of Ecological Economics & Statistics 9 65-73
  • [8] Torres DFM(2008)Noether's theorem on time scales Journal of Mathematical Analysis and Applications 342 1220-1226
  • [9] Bohner M(2008)Fractional variational principles with delay Journal of Physics A 41 8-711
  • [10] Ferreira RAC(1997)A Bliss-type multiplier rule for constrained variational problems with time delay Journal of Mathematical Analysis and Applications 210 702-407
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