Differential Equations in a Partial Differential Ring: Basic Properties and Observability Conditions
- Authors: Gaishun I.V.1, Astrovskii A.I.2
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Affiliations:
- Institute of Mathematics
- Belarus State Economic University
- Issue: Vol 54, No 6 (2018)
- Pages: 817-822
- Section: Control Theory
- URL: https://journals.rcsi.science/0012-2661/article/view/154780
- DOI: https://doi.org/10.1134/S0012266118060101
- ID: 154780
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Abstract
In a partial differential ring, we study differential equations generalizing total differential systems, establish their basic properties, and obtain output observability conditions for the case in which the output linearly depends on the solutions.
About the authors
I. V. Gaishun
Institute of Mathematics
Author for correspondence.
Email: gaishun@im.bas-net.by
Belarus, Minsk, 220072
A. I. Astrovskii
Belarus State Economic University
Email: gaishun@im.bas-net.by
Belarus, Minsk, 220070
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