Solution of matrix Riccati differential equation for nonlinear singular system using genetic programming

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@Article{Balasubramaniam:2009:GPEM,
  author =       "P. Balasubramaniam and A. Vincent Antony Kumar",
  title =        "Solution of matrix {Riccati} differential equation for
                 nonlinear singular system using genetic programming",
  journal =      "Genetic Programming and Evolvable Machines",
  year =         "2009",
  volume =       "10",
  number =       "1",
  pages =        "71--89",
  month =        mar,
  keywords =     "genetic algorithms, genetic programming, Matrix
                 Riccati differential equation, Nonlinear, Optimal
                 control, Runge Kutta method, Singular system",
  ISSN =         "1389-2576",
  DOI =          "doi:10.1007/s10710-008-9072-z",
  size =         "19 pages",
  abstract =     "In this paper, we propose a novel approach to find the
                 solution of the matrix Riccati differential equation
                 (MRDE) for nonlinear singular systems using genetic
                 programming (GP). The goal is to provide optimal
                 control with reduced calculation effort by comparing
                 the solutions of the MRDE obtained from the well known
                 traditional Runge Kutta (RK) method to those obtained
                 from the GP method. We show that the GP approach to the
                 problem is qualitatively better in terms of accuracy.
                 Numerical examples are provided to illustrate the
                 proposed method.",
}

Genetic Programming entries for P Balasubramaniam A Vincent Antony Kumar

Citations