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M. Diehl, H. G. Bock and J. P. Schloder, “A Real-Time Iteration Scheme for Nonlinear Optimization in Optimal Feedback Control,” Siam Journal on Control and Optimization, Vol. 43, No. 5, 2005, pp.1714-1736. doi:10.1137/S0363012902400713

has been cited by the following article:

• TITLE: Numerical Solution of a Class of Nonlinear Optimal Control Problems Using Linearization and Discretization

  AUTHORS: Mohammad Hadi Noori Skandari, Emran Tohidi

  KEYWORDS: Linear and Nonlinear Optimal Control, Linear Combination Property of Intervals, Linear Programming, Discretization, Dynamical Control Systems

  JOURNAL NAME: Applied Mathematics, Vol.2 No.5, May 6, 2011

  ABSTRACT: In this paper, a new approach using linear combination property of intervals and discretization is proposed to solve a class of nonlinear optimal control problems, containing a nonlinear system and linear functional, in three phases. In the first phase, using linear combination property of intervals, changes nonlinear system to an equivalent linear system, in the second phase, using discretization method, the attained problem is converted to a linear programming problem, and in the third phase, the latter problem will be solved by linear programming methods. In addition, efficiency of our approach is confirmed by some numerical examples.