The Hautus-Type Inequality for Abstract Fractional Cauchy Problems and Its Observability
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 equivalence of the observability and the …