The Hautus-Type Inequality for Abstract Fractional Cauchy Problems and Its Observability

被引：0
|
作者：
Chen-Yu, Li [1 ]
机构：
[1] Chengdu Univ, Coll Comp Sci, Chengdu, Sichuan, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2024年 / 2024卷
基金：
中国国家自然科学基金;
关键词：
EQUATIONS; CONTROLLABILITY;
D O I：
10.1155/2024/6179980
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 below boundedness of the linear operator on the wave packet when the generator conforms to a specific form.
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页数：7
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