Stability of discontinuous retarded functional differential equations with applications

Ye Sun; Anthony N. Michel; Guisheng Zhai

doi:10.1109/TAC.2005.852563

Stability of discontinuous retarded functional differential equations with applications

Ye Sun, Anthony N. Michel, Guisheng Zhai

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

39 Citations (Scopus)

Abstract

We present Lyapunov stability results, including converse theorems, for a class of discontinuous dynamical systems (DDS) determined by the solutions of retarded functional differential equations. We demonstrate the applicability of these results in the analysis of several specific important classes of DDS determined by functional differential equations and differential-difference equations.

Original language	English
Pages (from-to)	1090-1105
Number of pages	16
Journal	IEEE Transactions on Automatic Control
Volume	50
Issue number	8
DOIs	https://doi.org/10.1109/TAC.2005.852563
Publication status	Published - 2005 Aug
Externally published	Yes

Keywords

Asymptotic stability
Differential-difference equations
Discontinuous dynamical systems (DDS)
Exponential stability
Hybrid systems
Lyapunov stability
Retarded functional differential equations
Switched systems
Systems with delays

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2005.852563

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title = "Stability of discontinuous retarded functional differential equations with applications",

abstract = "We present Lyapunov stability results, including converse theorems, for a class of discontinuous dynamical systems (DDS) determined by the solutions of retarded functional differential equations. We demonstrate the applicability of these results in the analysis of several specific important classes of DDS determined by functional differential equations and differential-difference equations.",

keywords = "Asymptotic stability, Differential-difference equations, Discontinuous dynamical systems (DDS), Exponential stability, Hybrid systems, Lyapunov stability, Retarded functional differential equations, Switched systems, Systems with delays",

author = "Ye Sun and Michel, {Anthony N.} and Guisheng Zhai",

year = "2005",

month = aug,

doi = "10.1109/TAC.2005.852563",

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volume = "50",

pages = "1090--1105",

journal = "IRE Transactions on Automatic Control",

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AU - Sun, Ye

AU - Michel, Anthony N.

AU - Zhai, Guisheng

PY - 2005/8

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AB - We present Lyapunov stability results, including converse theorems, for a class of discontinuous dynamical systems (DDS) determined by the solutions of retarded functional differential equations. We demonstrate the applicability of these results in the analysis of several specific important classes of DDS determined by functional differential equations and differential-difference equations.

KW - Asymptotic stability

KW - Differential-difference equations

KW - Discontinuous dynamical systems (DDS)

KW - Exponential stability

KW - Hybrid systems

KW - Lyapunov stability

KW - Retarded functional differential equations

KW - Switched systems

KW - Systems with delays

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Stability of discontinuous retarded functional differential equations with applications

Abstract

Keywords

ASJC Scopus subject areas

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