Abstract
Quadratic stability of a class of switched nonlinear systems is studied in this note. We first transform quadratic stability problem into an equivalent nonlinear programming problem. Then, we derive a necessary and sufficient condition for quadratic stability of this class of switched systems by using Karush-Kuhn-Tucker condition for nonlinear programming problems. The necessary and sufficient condition is given in terms of the strict completeness of a certain set of functions on a subset of the state space, which is much easier to check.
© 2004 IEEE
© 2004 IEEE
| Original language | English |
|---|---|
| Pages (from-to) | 574-578 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 49 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Apr 2004 |
| Externally published | Yes |
Bibliographical note
Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].Funding
This work was supported by the National Science Foundation of China under Grant 60274009, by the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant 20020145007, and by the Natural Science Found ation of Liaoning Province under Grant 20032020.
Research Keywords
- Completeness
- Karush-Kuhn-Tucker (KKT) condition
- Quadratic stability
- Switched systems
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