Premium
Piecewise constant Lyapunov functions for the construction of robust regions of attraction
Author(s) -
KazakovaFrehse N.,
Moor T.
Publication year - 1999
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/(sici)1099-1239(19990715)9:8<451::aid-rnc413>3.0.co;2-v
Subject(s) - piecewise , lyapunov function , bounding overwatch , mathematics , constant (computer programming) , constant function , lyapunov redesign , nonlinear system , domain (mathematical analysis) , function (biology) , piecewise linear function , lyapunov equation , mathematical optimization , control theory (sociology) , mathematical analysis , computer science , control (management) , physics , artificial intelligence , quantum mechanics , programming language , evolutionary biology , biology
This paper deals with the estimation of a robust domain of attraction for nonlinear systems with structured uncertainties. For this goal a piecewise constant parameter‐dependent Lyapunov function is used. This type of a Lyapunov function is based on dividing the uncertainty bounding set into a finite number of partitions, yielding a common Lyapnov function for each partition. A numerical example is included. Copyright © 1999 John Wiley & Sons, Ltd.