Abstract
In this paper we study simultaneous feedback and output injection on descriptor linear system described by a quadruple of matrices (E,A,B,C). We describe the possible Kronecker invariants of the resulting pencil λE−(A+ BF + KC), when F and K vary, in the case when the pencil corresponding to the system (E,A,B,C) has no infinite elementary divisors of the second, third and fourth type. The solution is constructive and explicit, and is given over algebraically closed fields.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Dodig, M. (2018). Descriptor Systems Under Feedback and Output Injection. In: André, C., Bastos, M., Karlovich, A., Silbermann, B., Zaballa, I. (eds) Operator Theory, Operator Algebras, and Matrix Theory. Operator Theory: Advances and Applications, vol 267. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-72449-2_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-72449-2_7
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-72448-5
Online ISBN: 978-3-319-72449-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)