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Paper Information

Journal:   JOURNAL OF CONTROL   FALL 2016 , Volume 10 , Number 3 ; Page(s) 53 To 60.
 
Paper: 

DOMAIN OF ATTRACTION ESTIMATION OF SECOND ORDER POLYNOMIAL SYSTEM USING RATIONAL LYAPUNOV FUNCTION

 
 
Author(s):  ESMAILI FARHAD, VAHIDIAN KAMYAD ALI, PARIZ NASER, JAHED MOTLAGH MOHAMMAD REZA
 
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Abstract: 

In this paper, estimation of second order polynomial systems’ domain of attraction (DA) via rational Lyapunov function is investigated. One of the methods for estimating DA is to find the greatest level set. In this study, in order to obtain the greatest level set, cost function based on increasing the region enclosed to the level set has been offered instead of using shape factor.
Estimating DA has been converted into solving bilinear matrix inequality optimization problem.
Capacity of this method compared to other methods in recent studies has been shown through some examples.

 
Keyword(s): POLYNOMIAL SYSTEM, DOMAIN OF ATTRACTION ESTIMATION, SOS POLYNOMIAL, LEVEL SET
 
References: 
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