DocumentCode
3015173
Title
Safety analysis of linear system with SOS for complex eigenvalues
Author
Megawati, Noorma Yulia ; Salmah ; Wijayanti, Indah Emilia ; Joelianto, Endra
Author_Institution
Dept. of Math., Gadjah Mada Univ., Yogyakarta, Indonesia
fYear
2011
fDate
15-17 Nov. 2011
Firstpage
231
Lastpage
235
Abstract
In this paper we investigate safety verification of linear system. The structure of linear system will be exploited and converted to certain eigenstructure as an emptiness problem for a semi algebraic set. Sum of square (SOS) is emploited to check emptiness of of the set defines by polynomial inequalities which can be computed by semidifinite programming. A special consideration is to investigate safety problem of linear system with complex eigenvalues.
Keywords
eigenstructure assignment; eigenvalues and eigenfunctions; linear systems; mathematical programming; polynomials; safety; SOS method; complex eigenvalues; eigenstructures; emptiness problem; linear system safety analysis; linear system safety verification; polynomial inequalities; semialgebraic set; semidifinite programming; sum of square method; Eigenvalues and eigenfunctions; Equations; safety linear system complex eigenvalue SOS;
fLanguage
English
Publisher
ieee
Conference_Titel
Instrumentation Control and Automation (ICA), 2011 2nd International Conference on
Conference_Location
Bandung
Print_ISBN
978-1-4577-1462-7
Type
conf
DOI
10.1109/ICA.2011.6130162
Filename
6130162
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