Open Access Open Access  Restricted Access Subscription or Fee Access

Safety Analysis of Linear Systems with Complex Eigenvalues using SOS

Noorma Yulia Megawati, Salmah, Indah Emilia W., Endra Joelianto, Agus Budiyono

Abstract


This paper considers safety analysis of linear systems. The structure of linear systems will be investigated and converted to certain eigenstructure as an emptiness problem for a semi algebraic set. Sum of square (SOS) is utilized to check the emptiness of the set defined by polynomial equalities and inequalities which can be computed by semi definite programming. A special consideration is investigating safety problem of linear systems with complex eigenvalues. The results are then applied to the safety problem for a reduced model of longitudinal mode of a small scale helicopter.

Keywords


safety, linear systems, SOS, complex eigenvalues, Positivstellensatz.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.