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Effati, S. and Nik, H.S. (2011) Solving a Class of Linear and Non-Linear Optimal Control Problems by Homotopy Perturbation Method. IMA Journal of Mathematical Control and Information, 28, 539-553.
http://dx.doi.org/10.1093/imamci/dnr018

has been cited by the following article:

• TITLE: Performance of Suboptimal Controllers for Affine-Quadratic Problems

  AUTHORS: Ankita Sharma, A. J. Shaiju

  KEYWORDS: Affine-Quadratic Control, Nonlinear Control, Optimal Control, Suboptimal Control

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.3 No.5, December 10, 2014

  ABSTRACT: In this article, affine-quadratic control problems are studied. Error bounds are derived for the difference between the performance indices corresponding to the optimal and a class of suboptimal controls. In particular, it is shown that the performance of these suboptimal controls is close to that of the optimal control whenever the error in estimating the costate initial condition is small.