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

P. Pepe; Z. P. Jiang

doi:10.1109/CDC.2005.1583085

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

P. Pepe, Z. P. Jiang

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	5782-5787
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1583085
State	Published - 2005
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: Dec 12 2005 → Dec 15 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Other

Other	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 12/15/05

Keywords

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

ASJC Scopus subject areas

General Engineering

Access to Document

10.1109/CDC.2005.1583085

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 (pp. 5782-5787). Article 1583085 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1583085

A Lyapunov-Krasovskii methodology for ISS of time-delay systems. / Pepe, P.; Jiang, Z. P.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 5782-5787 1583085 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Pepe, P & Jiang, ZP 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., 1583085, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, 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 ZP. 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. 2005. p. 5782-5787. 1583085. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1583085

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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.",

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AB - 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.

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

Abstract

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Keywords

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