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Switching surfaces and groebner bases

  • Tryphon Georgiou
  • Allen Tannenbaum
Part A Learning And Computational Issues
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 241)

Abstract

A number of problems in control can be reduced to finding suitable real solutions of algebraic equations. In particular, such a problem arises in the context of switching surfaces in optimal control. Recently, a powerful new methodology for doing symbolic manipulations with polynomial data has been developed and tested, namely the use of Groebner bases. In this note, we apply the Groebner basis technique to find effective solutions to the classical problem of time-optimal control.

Keywords

Algebraic Geometry Polynomial Equation Switching Strategy Monomial Ideal Symbolic Manipulation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 1999

Authors and Affiliations

  • Tryphon Georgiou
  • Allen Tannenbaum
    • 1
  1. 1.Department of Electrical and Computer EngineeringUniversity of MinnesotaMinneapolis

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