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
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;
Conference_Titel :
Instrumentation Control and Automation (ICA), 2011 2nd International Conference on
Conference_Location :
Bandung
Print_ISBN :
978-1-4577-1462-7
DOI :
10.1109/ICA.2011.6130162
