抄録
In practice, one is not only interested in the qualitative characterizations provided by Lyapunov stability, but also in quantitative information concerning system behavior, including estimates of trajectory bounds, possibly over finite time intervals. This type of information has been ascertained in the past in a systematic manner, using the concept of practical stability. In the present paper we establish new sufficient conditions for practical stability of an important class of switched systems. As in the classical Lyapunov theory, our results constitute a Direct Method, making use of auxiliary scalar-valued Lyapunov-like functions. These functions, however, have properties that differ significantly from the usual Lyapunov functions. We demonstrate the applicability of our results by means of several specific examples.
| 元の言語 | English |
|---|---|
| ホスト出版物のタイトル | Proceedings of the IEEE Conference on Decision and Control |
| ページ | 3488-3493 |
| ページ数 | 6 |
| 巻 | 3 |
| 出版物ステータス | Published - 2002 |
| 外部発表 | Yes |
| イベント | 41st IEEE Conference on Decision and Control - Las Vegas, NV, United States 継続期間: 2002 12 10 → 2002 12 13 |
Other
| Other | 41st IEEE Conference on Decision and Control |
|---|---|
| 国 | United States |
| 市 | Las Vegas, NV |
| 期間 | 02/12/10 → 02/12/13 |
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ASJC Scopus subject areas
- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality
これを引用
On practical stability of switched systems. / Zhai, Guisheng; Michel, Anthony N.
Proceedings of the IEEE Conference on Decision and Control. 巻 3 2002. p. 3488-3493.研究成果: Conference contribution
}
TY - GEN
T1 - On practical stability of switched systems
AU - Zhai, Guisheng
AU - Michel, Anthony N.
PY - 2002
Y1 - 2002
N2 - In practice, one is not only interested in the qualitative characterizations provided by Lyapunov stability, but also in quantitative information concerning system behavior, including estimates of trajectory bounds, possibly over finite time intervals. This type of information has been ascertained in the past in a systematic manner, using the concept of practical stability. In the present paper we establish new sufficient conditions for practical stability of an important class of switched systems. As in the classical Lyapunov theory, our results constitute a Direct Method, making use of auxiliary scalar-valued Lyapunov-like functions. These functions, however, have properties that differ significantly from the usual Lyapunov functions. We demonstrate the applicability of our results by means of several specific examples.
AB - In practice, one is not only interested in the qualitative characterizations provided by Lyapunov stability, but also in quantitative information concerning system behavior, including estimates of trajectory bounds, possibly over finite time intervals. This type of information has been ascertained in the past in a systematic manner, using the concept of practical stability. In the present paper we establish new sufficient conditions for practical stability of an important class of switched systems. As in the classical Lyapunov theory, our results constitute a Direct Method, making use of auxiliary scalar-valued Lyapunov-like functions. These functions, however, have properties that differ significantly from the usual Lyapunov functions. We demonstrate the applicability of our results by means of several specific examples.
UR - http://www.scopus.com/inward/record.url?scp=0036993594&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036993594&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0036993594
VL - 3
SP - 3488
EP - 3493
BT - Proceedings of the IEEE Conference on Decision and Control
ER -