Email this article Input—Output Systems and Bäcklund Transformations
- Authors: Chetverikov V.N.1
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Affiliations:
- Bauman Moscow State Technical University
- Issue: Vol 55, No 10 (2019)
- Pages: 1397-1406
- Section: Control Theory
- URL: https://journals.rcsi.science/0012-2661/article/view/155238
- DOI: https://doi.org/10.1134/S001226611910015X
- ID: 155238
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Abstract
The concept of input-output system is stated in the geometric language of infinite jets. It is proved that finite-dimensional input-output mappings are Bäcklund transformations. This assertion is generalized to infinite-dimensional input-output systems. Observability conditions are derived as a consequence of the geometric interpretation introduced.
About the authors
V. N. Chetverikov
Bauman Moscow State Technical University
Author for correspondence.
Email: chetverikov.vl@yandex.ru
Russian Federation, Moscow, 105005
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