Name
Title | ||
|---|---|---|
Results on convergence in hybrid systems via detectability and an invariance principle |
Abstract | ||
|---|---|---|
Two invariance principles for generalized hybrid systems are presented. One version involves the use of a nonincreasing function, like in the original work of LaSalle. The other version involves "meagreness" conditions. These principles characterize asymptotic convergence of bounded hybrid trajectories to weakly invariant sets. A detectability property is used to locate a set in which the Q-limit set of a trajectory is contained. Next, it is shown how the invariance principles can be used to certify asymptotic stability in hybrid systems. Lyapunov and Krasovskii theorems for hybrid systems are included. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1109/ACC.2005.1470014 | american control conference |
Keywords | DocType | ISSN |
lyapunov methods,asymptotic stability,control system analysis computing,convergence,invariance,krasovskii theorem,lyapunov theorem,q-limit set,asymptotic convergence,detectability property,hybrid systems,invariance principle,nonincreasing function,mathematical model,limit set,nonlinear systems,control engineering,hybrid system,linear systems,difference equations | Conference | 0743-1619 E-ISBN : 0-7803-9099-7 |
ISBN | Citations | PageRank |
0-7803-9099-7 | 18 | 3.02 |
References | Authors | |
10 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ricardo G. Sanfelice | 1 | 216 | 27.88 |
| Goebel, R. | 2 | 48 | 8.56 |
| andrew r teel | 3 | 566 | 71.55 |