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

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ESMAILI FARHAD; VAHIDIAN KAMYAD ALI; PARIZ NASER; JAHED MOTLAGH MOHAMMAD REZA

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Journal: Journal of Control Year:2016 | Volume:10 | Issue:3 Page(s): 53-60

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Title

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 | Issue Writer Certificate

Keywords

POLYNOMIAL SYSTEMQ2

DOMAIN OF ATTRACTION ESTIMATIONQ2

SOS POLYNOMIALQ2

LEVEL SETQ2

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.

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APA: Copy

ESMAILI, FARHAD, VAHIDIAN KAMYAD, ALI, PARIZ, NASER, & JAHED MOTLAGH, MOHAMMAD REZA. (2016). DOMAIN OF ATTRACTION ESTIMATION OF SECOND ORDER POLYNOMIAL SYSTEM USING RATIONAL LYAPUNOV FUNCTION. JOURNAL OF CONTROL, 10(3 ), 53-60. SID. https://sid.ir/paper/120850/en

Vancouver: Copy

ESMAILI FARHAD, VAHIDIAN KAMYAD ALI, PARIZ NASER, JAHED MOTLAGH MOHAMMAD REZA. DOMAIN OF ATTRACTION ESTIMATION OF SECOND ORDER POLYNOMIAL SYSTEM USING RATIONAL LYAPUNOV FUNCTION. JOURNAL OF CONTROL[Internet]. 2016;10(3 ):53-60. Available from: https://sid.ir/paper/120850/en

IEEE: Copy

FARHAD ESMAILI, ALI VAHIDIAN KAMYAD, NASER PARIZ, and MOHAMMAD REZA JAHED MOTLAGH, “DOMAIN OF ATTRACTION ESTIMATION OF SECOND ORDER POLYNOMIAL SYSTEM USING RATIONAL LYAPUNOV FUNCTION,” JOURNAL OF CONTROL, vol. 10, no. 3 , pp. 53–60, 2016, [Online]. Available: https://sid.ir/paper/120850/en

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