### Controllability and Observability of Stochastic Singular Systems in Banach Spaces

GE Zhaoqiang

1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China
• Received:2020-07-21 Revised:2020-09-21 Published:2022-03-15
• Supported by:
This research was supported by the National Natural Science Foundation of China under Grant Nos. 11926402 and 61973338.

GE Zhaoqiang. Controllability and Observability of Stochastic Singular Systems in Banach Spaces[J]. Journal of Systems Science and Complexity, 2022, 35(1): 194-204.

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.
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