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11-04-2017 | Focus

Stability analysis of uncertain singular systems

Authors: Yadong Shu, Yuanguo Zhu

Published in: Soft Computing | Issue 17/2018

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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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Title: Stability analysis of uncertain singular systems
Authors: Yadong Shu
Yuanguo Zhu
Publication date: 11-04-2017
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 17/2018
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-017-2599-2

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