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 |
|---|---|
| Title of host publication | Proceedings of the American Control Conference |
| Pages | 3387-3392 |
| Number of pages | 6 |
| Volume | 4 |
| Publication status | Published - 2003 |
| Externally published | Yes |
| Event | 2003 American Control Conference - Denver, CO, United States Duration: 2003 Jun 4 → 2003 Jun 6 |
Other
| Other | 2003 American Control Conference |
|---|---|
| Country | United States |
| City | Denver, CO |
| Period | 03/6/4 → 03/6/6 |
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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
- Control and Systems Engineering
Cite this
Stability of Discontinuous Retarded Functional Differential Equations with Applications to Delay Systems. / Sun, Ye; Michel, Anthony N.; Zhai, Guisheng.
Proceedings of the American Control Conference. Vol. 4 2003. p. 3387-3392.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
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
Y1 - 2003
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 contribution
VL - 4
SP - 3387
EP - 3392
BT - Proceedings of the American Control Conference
ER -