Name
Abstract | ||
|---|---|---|
The classical study of controllability of linear systems assumes unconstrained control inputs. The "distance to uncontrollability" measures the size of the smallest perturbation to the matrix description of the system rendering it uncontrollable and is a key measure of system robustness. We extend the standard theory of this measure of controllability to the case where the control input must satisfy given linear inequalities. Specifically, we consider the control of differential inclusions, concentrating on the particular case where the control input takes values in a given convex cone. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1137/050628982 | SIAM J. Control and Optimization |
Keywords | Field | DocType |
control input,key measure,linear inequality,convex processes,distance to uncontrollability,particular case,convex cone,rank condition,differential inclusion,cone-constrained controls,controllability,adjoint processes,unconstrained control input,uncontrollable modes,linear system,classical study,system robustness,satisfiability | Differential inclusion,Mathematical optimization,Controllability,Linear system,Matrix (mathematics),Robustness (computer science),Rank condition,Linear inequality,Mathematics,Convex cone | Journal |
Volume | Issue | ISSN |
45 | 1 | 0363-0129 |
Citations | PageRank | References |
2 | 0.47 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adrian Lewis | 1 | 2 | 0.47 |
| René Henrion | 2 | 305 | 29.65 |
| Alberto Seeger | 3 | 113 | 13.26 |