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Controllability and Observability of Stochastic Singular Systems in Banach Spaces

查看全文 作  者:GE [1]Zhaoqiang 高影响力作者 机构地区:[1]School of Mathematics and Statistics,Xi’an Jiaotong University,Xi'an 710049,China.高影响力机构 出  处:《Journal of Systems Science & Complexity》索引2022年第35卷第1期,共11页高影响力期刊 基  金:supported by the National Natural Science Foundation of China under Grant Nos.11926402 and 61973338。 摘  要:Exact(approximate)controllability and exact(approximate)observability of stochastic singular systems in Banach spaces are discussed.Firstly,the condition for the existence and uniqueness of the mild solution to stochastic singular systems is given by GE-semigroup in Banach spaces.Secondly,the necessary and sufficient conditions for the exact(approximate)controllability and exact(approximate)observability of the systems considered are derived in terms of GE-semigroup,and the dual principle is given.Thirdly,an illustrative example is given. 关 键 词:Banach space CONTROLLABILITY GE-semigroup OBSERVABILITY stochastic singular systems
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