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Stabilities of Hilbert space contraction semigroups revisited |
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| Authors: | Carlos S. Kubrusly Nhan Levan |
| Affiliation: | (1) Catholic University of Rio de Janeiro, 22453-900 Rio de Janeiro, RJ, Brazil;(2) Department of Electrical Engineering, University of California in Los Angeles, Los Angeles, CA 90024-1594, USA |
| Abstract: | A necessary and sufficient condition for exponential stability of Hilbert space contraction semigroups is obtained in terms of an inequality involving the dissipative norm associated with the generator of the semigroup and with the Hilbert space norm. |
| Keywords: | Hilbert space contraction semigroups Exponential stability Strong stability |
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