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

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

doi:10.1080/00207170701383780

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

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

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper a new Lyapunov-Krasovskii methodology for both the (local) asymptotic stability and the global asymptotic stability of non-linear coupled delay differential and 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)
Pages (from-to)	107-115
Number of pages	9
Journal	International Journal of Control
Volume	81
Issue number	1
DOIs	https://doi.org/10.1080/00207170701383780
State	Published - Jan 2008

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

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10.1080/00207170701383780

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

abstract = "In this paper a new Lyapunov-Krasovskii methodology for both the (local) asymptotic stability and the global asymptotic stability of non-linear coupled delay differential and 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.",

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

note = "Funding Information: The work of P. Pepe has been supported by Italian MIUR Project PRIN 05. The work of Z.P. Jiang has been supported by U.S. NSF grants ECS-0093176, OISE-0408925 and DMS-0504462. The work of E. Fridman has been supported by the Kamea fund of Israel.",

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AB - In this paper a new Lyapunov-Krasovskii methodology for both the (local) asymptotic stability and the global asymptotic stability of non-linear coupled delay differential and 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.

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

Abstract

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