Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 44, Issue 8, Pages 1522-1532Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2012.659695
Keywords
impulse; discrete; differential geometry; observability; accessibility
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Funding
- NNSF of China [60874027, 60114039]
- Fundamental Research Funds for the Central Universities of China
- Shanghai Municipal Education Commission [gjd10009, A-3500-11-10]
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This article is concerned with the observability and accessibility of discrete impulsive nonlinear systems. A geometric method based on the differential geometric analysis and Lie group investigation is proposed. The infinitesimal invariance principle in Lie group theory is extended to the case of discrete impulsive nonlinear systems. By characterising the infinitesimal principle in terms of the sequences of codistribution and distribution, explicit criteria for the local observability and local accessibility of the system are derived, respectively. Additionally, two examples are provided to show that the criteria are convenient to check.
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