Controllability and Observability of Stochastic Singular Systems in Banach Spaces

• 作者: GE Zhaoqiang
• 来源期刊: 系统科学与复杂性学报（英文版）
• 年，卷（期）: 2022,（1）
• 页码范围: 194-204
• 页数: 11页
• 语种: 英文
• DOI: 10.1007/s11424-021-0164-7

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 unique-ness 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.