Stability of Discontinuous Retarded Functional Differential Equations with Applications to Delay Systems

Ye Sun; Anthony N. Michel; Guisheng Zhai

Stability of Discontinuous Retarded Functional Differential Equations with Applications to Delay Systems

Ye Sun, Anthony N. Michel, Guisheng Zhai

Research output: Contribution to journal › Conference article › peer-review

Abstract

The Lyapunov stability of discontinuous dynamical systems (DDS), determined using retarded functional differential equations is discussed. DDS were derived from the modeling of a variety of infinite dimensional systems. The applications of the stability of the equations on the delay control systems are also discussed.

Original language	English
Pages (from-to)	3387-3392
Number of pages	6
Journal	Proceedings of the American Control Conference
Volume	4
Publication status	Published - 2003 Nov 6
Externally published	Yes
Event	2003 American Control Conference - Denver, CO, United States Duration: 2003 Jun 4 → 2003 Jun 6

Keywords

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

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

Fingerprint Dive into the research topics of 'Stability of Discontinuous Retarded Functional Differential Equations with Applications to Delay Systems'. Together they form a unique fingerprint.

Cite this

@article{32cb308389f24ba6ac18d1e5df54598d,

title = "Stability of Discontinuous Retarded Functional Differential Equations with Applications to Delay Systems",

abstract = "The Lyapunov stability of discontinuous dynamical systems (DDS), determined using retarded functional differential equations is discussed. DDS were derived from the modeling of a variety of infinite dimensional systems. The applications of the stability of the equations on the delay control systems are also discussed.",

keywords = "Asymptotic stability, Boundedness, Differential-difference equations, Discontinuous dynamical systems, 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 = "2003",

month = nov,

day = "6",

language = "English",

volume = "4",

pages = "3387--3392",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

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

note = "2003 American Control Conference ; Conference date: 04-06-2003 Through 06-06-2003",

}

TY - JOUR

T1 - Stability of Discontinuous Retarded Functional Differential Equations with Applications to Delay Systems

AU - Sun, Ye

AU - Michel, Anthony N.

AU - Zhai, Guisheng

PY - 2003/11/6

Y1 - 2003/11/6

N2 - The Lyapunov stability of discontinuous dynamical systems (DDS), determined using retarded functional differential equations is discussed. DDS were derived from the modeling of a variety of infinite dimensional systems. The applications of the stability of the equations on the delay control systems are also discussed.

AB - The Lyapunov stability of discontinuous dynamical systems (DDS), determined using retarded functional differential equations is discussed. DDS were derived from the modeling of a variety of infinite dimensional systems. The applications of the stability of the equations on the delay control systems are also discussed.

KW - Asymptotic stability

KW - Boundedness

KW - Differential-difference equations

KW - Discontinuous dynamical systems

KW - Exponential stability

KW - Hybrid systems

KW - Lyapunov stability

KW - Retarded functional differential equations

KW - Switched systems

KW - Systems with delays

UR - http://www.scopus.com/inward/record.url?scp=0142183991&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0142183991&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0142183991

VL - 4

SP - 3387

EP - 3392

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

T2 - 2003 American Control Conference

Y2 - 4 June 2003 through 6 June 2003

ER -