Name
Abstract | ||
|---|---|---|
Many uncertainty sets encountered in control systems analysis and design can be expressed in terms of semialgebraic sets, that is as the intersection of sets described by means of polynomial inequalities. Important examples are for instance the Schur and Hurwitz stability domains. These sets often have very complicated shapes (nonconvex, and even non-connected), which render difficult their manipulation. It is therefore of considerable importance to find simple-enough approximations of these sets, able to capture their main characteristics while maintaining a low level of complexity. For these reasons, in the past years several convex approximations, based for instance on hyperrectangles, polytopes, or ellipsoids have been proposed. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.automatica.2016.11.021 | Automatica |
Keywords | Field | DocType |
Semialgebraic set,Approximation,Sampling | Intersection (set theory),Semialgebraic set,Discrete mathematics,Mathematical optimization,Finite set,Polynomial,Positive polynomial,Almost everywhere,Solution set,Mathematics,Linear matrix inequality | Journal |
Volume | Issue | ISSN |
78 | 78 | 0005-1098 |
Citations | PageRank | References |
6 | 0.48 | 14 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fabrizio Dabbene | 1 | 238 | 30.36 |
| Daniel Henrion | 2 | 63 | 7.51 |
| Constantino M. Lagoa | 3 | 164 | 25.38 |