A Stability Test for Linear Singular Systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F12%3A00197892" target="_blank" >RIV/68407700:21220/12:00197892 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
A Stability Test for Linear Singular Systems
Original language description
In this paper we study a stability test for linear singular systems. An efficient regularization procedure is proposed. It consists of a series of transformation of a system matrix using semi-inverse and pseudo-inverse matrices. The final system matrix is full rank matrix, containing all nonzero eigenvalues of original singular system plus an additional set of eigenvalues placed in -1. That means that stability of system is preserved and can be tested by Lyapunov equation. A left regularization operatoris defined and a pole placement procedure through derivative feedback is proposed.
Czech name
—
Czech description
—
Classification
Type
O - Miscellaneous
CEP classification
BC - Theory and management systems
OECD FORD branch
—
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů