Picard Discretization of Nonlinear Systems: Symbolic or Numeric Implementation?
ABSTRACT In this paper we report the numeric implementation of previously proposed symbolic non-standard discretization methods for
nonlinear dynamical control systems. We discuss the advantages and disadvantages of both symbolic and numeric implementations,
and illustrate them through their applications to case studies.
Conference Proceeding: Improved Non-standard Discretization Methods for Nonlinear Dynamical Control Systems.[show abstract] [hide abstract]
ABSTRACT: In this paper we describe two modified versions of the Euler-Picard and Euler-Taylor-Picard discretization methods for nonlinear dynamical control systems. We use an upper bound for the absolute difference of each pair of consecutive Picard iterations, in the first case to control the number of Picard iterations, and in the second case to control the sampling frequency, while keeping the maximum allowed number of Picard iterations fixed. These non-standard discretization methods are used to support the construction of computer animated mimics of nonlinear dynamical control systems.Computer Aided Systems Theory - EUROCAST 2005, 10th International Conference on Computer Aided Systems Theory, Las Palmas de Gran Canaria, Spain, February 7-11, 2005, Revised Selected Papers; 01/2005