The Hautus-Type Inequality for Abstract Fractional Cauchy Problems and Its Observability
In this paper, we investigate the observability of the fractional resolvent family, and we prove two main results: the first result shows a generalization of the Hautus-type test for observable exponentially stable semigroups to the fractional resolvent family and the second result shows the equival...
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2024-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2024/6179980 |