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) |
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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 |
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Country/Territory | United States |
City | Portland, OR |
Period | 6/8/05 → 6/10/05 |
ASJC Scopus subject areas
- Control and Systems Engineering