A Lyapunov-Krasovskii methodology for ISS of time-delay systems

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

Abstract

This paper presents a Lyapunov-Krasovskii methodology for studying the input-to-state stability of non-linear time-delay systems. The methodology is feasible by the use, for instance, of the M2 norm (that is the norm induced by the inner product in the Hilbert space known in literature as M 2, or Z) in the space of continuous functions, and by the use of functional which have a suitable (simple) integral term with strictly increasing kernel. The proposed results can be seen as a preliminary step towards extending some existing stability criteria to nonlinear time-delay systems with disturbance inputs.

Original languageEnglish (US)
Title of host publicationProceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages5782-5787
Number of pages6
Volume2005
DOIs
StatePublished - 2005
Event44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain
Duration: Dec 12 2005Dec 15 2005

Other

Other44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
CountrySpain
CitySeville
Period12/12/0512/15/05

Fingerprint

Time delay
Hilbert spaces
Stability criteria

Keywords

  • Functional differential equations
  • Input-to-State Stability (ISS)
  • Lyapunov-Krasovskii theorem
  • Nonlinear time-delay systems

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Pepe, P., & Jiang, Z-P. (2005). A Lyapunov-Krasovskii methodology for ISS of time-delay systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (Vol. 2005, pp. 5782-5787). [1583085] https://doi.org/10.1109/CDC.2005.1583085

A Lyapunov-Krasovskii methodology for ISS of time-delay systems. / Pepe, P.; Jiang, Zhong-Ping.

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005 2005. p. 5782-5787 1583085.

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

Pepe, P & Jiang, Z-P 2005, A Lyapunov-Krasovskii methodology for ISS of time-delay systems. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. vol. 2005, 1583085, pp. 5782-5787, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1583085
Pepe P, Jiang Z-P. A Lyapunov-Krasovskii methodology for ISS of time-delay systems. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005. 2005. p. 5782-5787. 1583085 https://doi.org/10.1109/CDC.2005.1583085
Pepe, P. ; Jiang, Zhong-Ping. / A Lyapunov-Krasovskii methodology for ISS of time-delay systems. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. Vol. 2005 2005. pp. 5782-5787
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