Picard discretization of nonlinear systems: symbolic or numeric implementation?

Authors:
Jesús Rodríguez-Millán;Anna Patete;Carla González
Affiliations:
Universidad de Los Andes, Facultad de Ingeniería, Dept. Sistemas de Control, Mérida, Venezuela;Tokyo Denki University, Advanced Science and Technology, Saitama, Japan;Universidad Carlos III, Dept. de Sistemas y Automática, Laboratorio de Robótica, Leganés, Madrid, Spain
Venue:
EUROCAST'07 Proceedings of the 11th international conference on Computer aided systems theory
Year:
2007

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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.