Differential Equations

, Volume 55, Issue 10, pp 1397–1406 | Cite as

Input—Output Systems and Bäcklund Transformations

  • V. N. ChetverikovEmail author
Control Theory


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.


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This work was supported by the Russian Foundation for Basic Research, projects nos. 19-07-00817 and 18-07-00269.


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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Bauman Moscow State Technical UniversityMoscowRussia

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