Name
Title | ||
|---|---|---|
Computation Of The Maximal Invariant Set Of Linear Systems With Quasi-Smooth Nonlinear Constraints |
Abstract | ||
|---|---|---|
In this paper, we consider the problem of computing the maximal invariant set of linear systems with a class of nonlinear constraints that admit quadratic relaxations. With these quadratic relaxations, we are able to determine a sufficient condition on the maximal invariant set. Using the sufficient condition, a new algorithm is presented by solving a set of linear matrix inequalities. Under mild assumptions, the proposed algorithm will terminate in finite time. The performance of this algorithm is demonstrated on several numerical examples. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.23919/ECC.2019.8796145 | 2019 18TH EUROPEAN CONTROL CONFERENCE (ECC) |
Field | DocType | Citations |
Applied mathematics,Nonlinear system,Linear system,Matrix (mathematics),Quadratic equation,Invariant (mathematics),Mathematics,Finite time,Computation | Conference | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zheming Wang | 1 | 30 | 8.12 |
| Raphaël M. Jungers | 2 | 0 | 1.35 |
| Chong-Jin Ong | 3 | 0 | 0.34 |