Multivariable extension of the Tsypkin criterion using a lyapunov function approach

Vikram Kapila, Wassim M. Haddad

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

For analyzing the stability of discrete-time systems containing a feedback nonlinearity the Tsypkin criterion is the closet analog to the Popov criterion which is used for analyzing such systems in continuous-time. Traditionally the proof of this criterion is based upon input-output properties and function analytic methods. In this paper we extend the Tsypkin criterion to multivariable systems containing an arbitrary number of monotonic sector-bounded memoryless time-invariant nonlinearities, along with providing a Lyapunov function proof for this classical result.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages843-844
Number of pages2
Volume1
StatePublished - 1994
EventProceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4) - Lake Buena Vista, FL, USA
Duration: Dec 14 1994Dec 16 1994

Other

OtherProceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4)
CityLake Buena Vista, FL, USA
Period12/14/9412/16/94

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Multivariable systems
Lyapunov functions
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ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Kapila, V., & Haddad, W. M. (1994). Multivariable extension of the Tsypkin criterion using a lyapunov function approach. In Proceedings of the IEEE Conference on Decision and Control (Vol. 1, pp. 843-844). IEEE.

Multivariable extension of the Tsypkin criterion using a lyapunov function approach. / Kapila, Vikram; Haddad, Wassim M.

Proceedings of the IEEE Conference on Decision and Control. Vol. 1 IEEE, 1994. p. 843-844.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kapila, V & Haddad, WM 1994, Multivariable extension of the Tsypkin criterion using a lyapunov function approach. in Proceedings of the IEEE Conference on Decision and Control. vol. 1, IEEE, pp. 843-844, Proceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4), Lake Buena Vista, FL, USA, 12/14/94.
Kapila V, Haddad WM. Multivariable extension of the Tsypkin criterion using a lyapunov function approach. In Proceedings of the IEEE Conference on Decision and Control. Vol. 1. IEEE. 1994. p. 843-844
Kapila, Vikram ; Haddad, Wassim M. / Multivariable extension of the Tsypkin criterion using a lyapunov function approach. Proceedings of the IEEE Conference on Decision and Control. Vol. 1 IEEE, 1994. pp. 843-844
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