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

研究成果: Conference article › 査読

抄録

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.

本文言語	English
ページ（範囲）	3387-3392
ページ数	6
ジャーナル	Proceedings of the American Control Conference
巻	4
出版ステータス	Published - 2003 11月 6
外部発表	はい
イベント	2003 American Control Conference - Denver, CO, United States 継続期間: 2003 6月 4 → 2003 6月 6

ASJC Scopus subject areas

電子工学および電気工学

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引用スタイル

@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

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

M3 - Conference article

AN - SCOPUS:0142183991

SN - 0743-1619

VL - 4

SP - 3387

EP - 3392

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - 2003 American Control Conference

Y2 - 4 June 2003 through 6 June 2003

ER -

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

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