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