Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Left invertibility and invertible solutions of the Lyapunov equation
 

Summary: DRAFT
Left invertibility and invertible solutions of the
Lyapunov equation
Hans Zwart
Department of Applied Mathematics,
Faculty of Electrical Engineering, Mathematics and Computer Science,
University of Twente,
P.O. Box 217, 7500 AE Enschede,
The Netherlands.
h.j.zwart@math.utwente.nl
August 25, 2011
Abstract
If the solution of a Lyapunov or Riccati equation corresponding to
a finite-dimensional system is invertible, then this leads to additional
properties of this system. For infinite-dimensional systems these re-
sults do not need to hold. We show that it is necessary to put some
additional conditions on the spectrum of the system operator A. For
instance, if this operator has compact resolvent, then the results known
for finite-dimensional systems extend to infinite-dimensional ones. Us-
ing this result, we obtain more insight in Lyapunov and Riccati equa-

  

Source: Al Hanbali, Ahmad - Department of Applied Mathematics, Universiteit Twente

 

Collections: Engineering