Name
Abstract | ||
|---|---|---|
This paper describes the computation of reach sets for discrete-time linear control systems with time-varying coefficients and ellipsoidal bounds on the controls and initial conditions. The algorithms construct external and internal ellipsoidal approximations so that they touch the reach set boundary from outside and from inside. Recurrence relations that describe the time evolution of these approximations are provided. The paper also deals with discrete-time linear systems with singular state transition matrix. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1109/TAC.2006.887900 | Automatic Control, IEEE Transactions |
Keywords | Field | DocType |
discrete time systems,linear systems,reachability analysis,time-varying systems,discrete-time linear control system,ellipsoidal approximation,ellipsoidal bounds,ellipsoidal technique,initial condition,reach sets,reachability analysis,singular discrete-time linear system,time-varying coefficients,Ellipsoidal methods,reach sets,regularization,singular discrete-time systems | Mathematical optimization,Ellipsoid,Linear system,Control theory,Recurrence relation,Reachability,Initial value problem,Discrete time and continuous time,Time complexity,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
52 | 1 | 0018-9286 |
Citations | PageRank | References |
64 | 2.74 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alex A. Kurzhanskiy | 1 | 71 | 9.23 |
| Pravin Varaiya | 2 | 2543 | 298.93 |