Abstract
We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for linear time-delay systems, using the sum of squares decomposition of multivariate polynomials to solve the related infinite dimensional Linear Matrix Inequalities (LMIs). The resulting functionals retain the structure of the complete L-K functional and yield conditions that approach the true delay-dependent stability bounds. The method can also be used to construct parameter-dependent L-K functionals for certifying stability under parametric uncertainty.
| Original language | English (US) |
|---|---|
| Title of host publication | Proceedings of the American Control Conference |
| Pages | 2845-2850 |
| Number of pages | 6 |
| Volume | 4 |
| State | Published - 2005 |
| Externally published | Yes |
| Event | 2005 American Control Conference, ACC - Portland, OR, United States Duration: Jun 8 2005 → Jun 10 2005 |
Other
| Other | 2005 American Control Conference, ACC |
|---|---|
| Country/Territory | United States |
| City | Portland, OR |
| Period | 6/8/05 → 6/10/05 |
ASJC Scopus subject areas
- Control and Systems Engineering