Inversion of hyperoutput time-delay systems

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Abstract

An inversion problem for LTI hyperoutput time-delay system is considered. For such systems canonical form with isolated zero dynamics is obtained, system invariant zeros and their relation to spectral observability of zero dynamics subsystem are investigated. Using this results, inversion algorithm is suggested for time-delay systems.

About the authors

A. V. Il’in

School of Science, Hangzhou Dianzi University; Lomonosov Moscow State University; Center for Information Technology in the design of the Russian Academy of Sciences

Author for correspondence.
Email: iline@cs.msu.ru

Corresponding Member of the RAS

Russian Federation, China; Moscow; Moscow 

E. I. Atamas

Lomonosov Moscow State University

Email: eatamas@cs.msu.ru
Russian Federation, Moscow 

V. V. Fomichev

School of Science, Hangzhou Dianzi University; Lomonosov Moscow State University; Center for Information Technology in the design of the Russian Academy of Sciences

Email: fomichev@cs.msu.ru
Russian Federation, China; Moscow; Moscow 

References

  1. Атамась Е.И., Ильин А.В., Фомичев В.В. Обращение векторных систем с запаздыванием // Дифференц. уравнения. 2013. Т. 49. № 11. С. 1363–1369.
  2. Ильин А.В., Атамась Е.И., Фомичев В.В. О приведении систем с запаздыванием к форме с выделением нулевой динамики // ДАН. 2018. Т. 480. № 1. С. 11–15.
  3. Conte G., Perdon A.M., Moog C.H. Inversion and Tracking Problems for Time Delay Linear Systems // In: Applications of Time Delay Systems. B.; Heidelberg: Springer, 2007. P. 267–284.
  4. Lee E.B., Olbrot A. Observability and Related Structural Results for Linear Hereditary Systems // Intern. J. Control. 1981. V. 34. № 6. P. 1061–1078.
  5. Watanabe K. Finite Spectrum Assignment and Observer for Multivariable Systems with Commensurate Delays // IEEE Trans. Autom. Control. 1986. V. 31. № 6. P. 543–550.

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