New York Journal of Mathematics
Volume 11 (2005) 457-463

Volume 11

NYJM Home

Editorial Board

NYJM Monographs

Full Text Index

For Authors
  

Alin Pogan, Ciprian Preda, and Petre Preda

A discrete Lyapunov theorem for the exponential stability of evolution families

Published: October 6, 2005
Keywords: Evolution family, exponential stability, Lyapunov equation.
Subject: 34D05, 34D20, 47D06
Abstract
We propose a discrete time approach for the exponential stability of evolution families on a Hilbert space by proposing a Liapunov-type equation which involves only discrete time arguments.
Acknowledgements

This research was done while the second author was a Postdoctoral Scholar at the Dept. of Electrical Engineering of UCLA, U.S.A. Research supported in part under NSF Grant no. ECS-0400730
Author information

Alin Pogan:
Department of Mathematics, University of Missouri, Columbia, MO 65211, U.S.A
pogan@math.missouri.edu

Ciprian Preda:
Department of Electrical Engineering, University of California, Los Angeles, CA 90095, U.S.A
preda@ee.ucla.edu

Petre Preda:
Department of Mathematics, West University of Timişoara, Timişoara 300223, Romania
preda@math.uvt.ro