A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations

P. Pepe, I. Karafyllis, Zhong-Ping Jiang

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

Abstract

The input-to-state stability of time invariant systems described by coupled delay differential and difference equations is here investigated. A new Liapunov-Krasovskii theorem to check such type of stability is proved. An example taken from the literature, concerning an electrical circuit, is reported, showing the effectiveness of the methodology.

Original languageEnglish (US)
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages2077-2082
Number of pages6
DOIs
StatePublished - 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: Dec 12 2007Dec 14 2007

Other

Other46th IEEE Conference on Decision and Control 2007, CDC
CountryUnited States
CityNew Orleans, LA
Period12/12/0712/14/07

Fingerprint

Convergence of numerical methods
Difference equations
Differential equations
Networks (circuits)

Keywords

  • Functional differential equations
  • Input-to-state stability (ISS)
  • Liapunov-Krasovskii theorem
  • Nonlinear time-delay systems

ASJC Scopus subject areas

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

Cite this

Pepe, P., Karafyllis, I., & Jiang, Z-P. (2007). A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 2077-2082). [4434273] https://doi.org/10.1109/CDC.2007.4434273

A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations. / Pepe, P.; Karafyllis, I.; Jiang, Zhong-Ping.

Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. 2007. p. 2077-2082 4434273.

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

Pepe, P, Karafyllis, I & Jiang, Z-P 2007, A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434273, pp. 2077-2082, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434273
Pepe P, Karafyllis I, Jiang Z-P. A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. 2007. p. 2077-2082. 4434273 https://doi.org/10.1109/CDC.2007.4434273
Pepe, P. ; Karafyllis, I. ; Jiang, Zhong-Ping. / A Liapunov-Krasovskii criterion for ISS of systems described by coupled delay differential and difference equations. Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. 2007. pp. 2077-2082
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