Presentation	2008-01-31 Estimate of Attractive Regions for Systems with Saturation via Star Shaped Polytopic Lyapunov Functions Yuzo OHTA,
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Abstract(in English)	We show how the combination of piecewise linear Lyapunov functions and star-shaped polytopic Lyapunov functions can be used to estimate attractive regions for linear systems with saturation. We first construct a piecewise linear Lyapunov function for a given system by using the linear programming method, and compute the estimate of attractive region which is a level set of the Lyapunov function. Then, we construct polytopes from obtained regions, and apply star-shaped polytopic Lyapunov function approach to improve the estimate of attractive region. To demonstrate the usefulness of the proposed method we show a numerical example.
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Keyword(in English)	Attractive Region / Saturation / Piecewise Linear Lyapunov function / Star shaped Polytopic Lyapunov Functions
Paper #	NLP2007-140
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Committee	NLP
Conference Date	2008/1/24(1days)
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Registration To	Nonlinear Problems (NLP)
Language	JPN
Title (in Japanese)	(See Japanese page)
Sub Title (in Japanese)	(See Japanese page)
Title (in English)	Estimate of Attractive Regions for Systems with Saturation via Star Shaped Polytopic Lyapunov Functions
Sub Title (in English)
Keyword(1)	Attractive Region
Keyword(2)	Saturation
Keyword(3)	Piecewise Linear Lyapunov function
Keyword(4)	Star shaped Polytopic Lyapunov Functions
1st Author's Name	Yuzo OHTA
1st Author's Affiliation	Graduate School of Engineering, Kobe University()
Date	2008-01-31
Paper #	NLP2007-140
Volume (vol)	vol.107
Number (no)	477
Page	pp.pp.-
#Pages	6
Date of Issue