Name
Title | ||
|---|---|---|
Reachability and Minimal Times for State Constrained Nonlinear Problems without Any Controllability Assumption |
Abstract | ||
|---|---|---|
We consider a target problem for a nonlinear system under state constraints. We give a new continuous level-set approach for characterizing the optimal times and the backward-reachability sets. This approach leads to a characterization via a Hamilton-Jacobi equation, without assuming any controllability assumption. We also treat the case of time-dependent state constraints, as well as a target problem for a two-player game with state constraints. Our method gives a good framework for numerical approximations, and some numerical illustrations are included in the paper. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1137/090762075 | SIAM J. Control and Optimization |
Keywords | Field | DocType |
target problem,minimal times,controllability assumption,good framework,time-dependent state constraint,state constraint,hamilton-jacobi equation,numerical approximation,state constrained nonlinear problems,backward-reachability set,numerical illustration,new continuous level-set approach,level set method | Two-player game,Mathematical optimization,Nonlinear system,Controllability,Level set method,Reachability,Mathematics | Journal |
Volume | Issue | ISSN |
48 | 7 | 0363-0129 |
Citations | PageRank | References |
34 | 2.15 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Olivier Bokanowski | 1 | 98 | 12.07 |
| Nicolas Forcadel | 2 | 71 | 7.99 |
| Hasnaa Zidani | 3 | 101 | 17.27 |