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Stability analysis of uncertain singular systems

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Abstract

Uncertain singular system, described as a multi-dimensional uncertain differential equation, is a kind of singular system disturbed by canonical process. Stability analysis has been widely investigated while nobody has ever considered the stability of uncertain singular systems. In this paper, three different styles of stabilities called stability in mean, stability in measure and almost sure stability of uncertain singular systems are studied. These stabilities can be employed to illustrate the internal character of uncertain singular systems in different aspects. Several sufficient conditions are presented to judge the above stabilities. An example is given to show the effectiveness of the results obtained.

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Acknowledgements

This study was funded by the National Natural Science Foundation of China (Grant No. 61673011).

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Authors and Affiliations

  1. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, People’s Republic of China

    Yadong Shu & Yuanguo Zhu

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  1. Yadong Shu
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  2. Yuanguo Zhu
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Correspondence to Yuanguo Zhu.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by Y. Ni.

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Shu, Y., Zhu, Y. Stability analysis of uncertain singular systems. Soft Comput 22, 5671–5681 (2018). https://doi.org/10.1007/s00500-017-2599-2

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  • DOI: https://doi.org/10.1007/s00500-017-2599-2

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