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

Electrical and Computer Engineering

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

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 (US)
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: Dec 13 2006 → Dec 15 2006

Publication series

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

Other

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

Keywords

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

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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

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

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, 12/13/06. https://doi.org/10.1109/cdc.2006.377198

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

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

Abstract

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Keywords

ASJC Scopus subject areas

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