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TitleOn the Computation of Switching Surfaces in Optimal Control: A Grobner Basis Approach
Author(s) Tryphon T. Georgiou, Allen Tannenbaum, Uli Walther
TypeArticle in Journal
AbstractA 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 paper, we apply the Groebner basis technique to find effective solutions to the classical problem of time-optimal control.
URL dx.doi.org/10.1109/9.917655
LanguageEnglish
JournalIEEE Transactions on Automatic Control (IEEE TAC)
Volume46
Number4
Pages534-540
Year2001
Edition0
Translation No
Refereed No
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