A new Lyapunov-Krasovskii methodology for coupled delay differential difference equations

P. Pepe; Z. P. Jiang; E. Fridman

doi:10.1109/cdc.2006.377198

A new Lyapunov-Krasovskii methodology for coupled delay differential difference equations

P. Pepe^*, Z. P. Jiang, E. Fridman

^*Corresponding author for this work

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

6 Scopus citations

Abstract

In this paper a new Lyapunov-Krasovskii methodology for nonlinear coupled delay differential difference equations is proposed. This methodology is based on the concept of input-to-state stability applied to the difference equation, for which a sufficient Lyapunov criterion is given, and on previous methodologies developed in the literature for linear delay descriptor systems.

Original language	English
Title of host publication	Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2565-2570
Number of pages	6
ISBN (Print)	1424401712, 9781424401710
DOIs	https://doi.org/10.1109/cdc.2006.377198
State	Published - 2006
Event	45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: 13 Dec 2006 → 15 Dec 2006

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	45th IEEE Conference on Decision and Control 2006, CDC
Country/Territory	United States
City	San Diego, CA
Period	13/12/06 → 15/12/06

Keywords

Continuous time difference equations
Input-to-state stability
Lyapunov's second method
Nonlinear time delay systems

Access to Document

10.1109/cdc.2006.377198

Cite this

Pepe, P., Jiang, Z. P., & Fridman, E. (2006). A new Lyapunov-Krasovskii methodology for coupled delay differential difference equations. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 2565-2570). Article 4177090 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/cdc.2006.377198

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title = "A new Lyapunov-Krasovskii methodology for coupled delay differential difference equations",

abstract = "In this paper a new Lyapunov-Krasovskii methodology for nonlinear coupled delay differential difference equations is proposed. This methodology is based on the concept of input-to-state stability applied to the difference equation, for which a sufficient Lyapunov criterion is given, and on previous methodologies developed in the literature for linear delay descriptor systems.",

keywords = "Continuous time difference equations, Input-to-state stability, Lyapunov's second method, Nonlinear time delay systems",

author = "P. Pepe and Jiang, \{Z. P.\} and E. Fridman",

year = "2006",

doi = "10.1109/cdc.2006.377198",

language = "אנגלית",

isbn = "1424401712",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2565--2570",

booktitle = "Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC",

address = "ארצות הברית",

note = "45th IEEE Conference on Decision and Control 2006, CDC ; Conference date: 13-12-2006 Through 15-12-2006",

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Pepe, P, Jiang, ZP & Fridman, E 2006, A new Lyapunov-Krasovskii methodology for coupled delay differential difference equations. in Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC., 4177090, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 2565-2570, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 13/12/06. https://doi.org/10.1109/cdc.2006.377198

A new Lyapunov-Krasovskii methodology for coupled delay differential difference equations. / Pepe, P.; Jiang, Z. P.; Fridman, E.
Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. p. 2565-2570 4177090 (Proceedings of the IEEE Conference on Decision and Control).

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

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AU - Jiang, Z. P.

AU - Fridman, E.

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AB - In this paper a new Lyapunov-Krasovskii methodology for nonlinear coupled delay differential difference equations is proposed. This methodology is based on the concept of input-to-state stability applied to the difference equation, for which a sufficient Lyapunov criterion is given, and on previous methodologies developed in the literature for linear delay descriptor systems.

KW - Continuous time difference equations

KW - Input-to-state stability

KW - Lyapunov's second method

KW - Nonlinear time delay systems

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Pepe P, Jiang ZP, Fridman E. A new Lyapunov-Krasovskii methodology for coupled delay differential difference equations. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc. 2006. p. 2565-2570. 4177090. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/cdc.2006.377198

A new Lyapunov-Krasovskii methodology for coupled delay differential difference equations

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Keywords

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