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Alin Pogan, Ciprian Preda, and Petre Preda
A discrete Lyapunov theorem for the exponential stability of evolution families
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| Published: |
October 6, 2005
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| Keywords: |
Evolution family, exponential stability, Lyapunov equation. |
| Subject: |
34D05, 34D20, 47D06 |
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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.
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| 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
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| 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
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