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Impulse Controllability and Impulse Observability of Stochastic Singular Systems

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Abstract

This paper discusses the impulse controllability and impulse observability of stochastic singular systems. Firstly, the condition for the existence and uniqueness of the impulse solution to stochastic singular systems is given by Laplace transform. Secondly, the necessary and sufficient conditions for the impulse controllability and impulse observability of systems considered are derived in terms of matrix theory. Finally, an example is given to illustrate the effectiveness of the obtained theoretical results.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, China

    Zhaoqiang Ge

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  1. Zhaoqiang Ge
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Correspondence to Zhaoqiang Ge.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 11926402 and 61973338.

This paper was recommended for publication by Editor LIU Yungang.

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Ge, Z. Impulse Controllability and Impulse Observability of Stochastic Singular Systems. J Syst Sci Complex 34, 899–911 (2021). https://doi.org/10.1007/s11424-020-9250-5

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  • DOI: https://doi.org/10.1007/s11424-020-9250-5

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