Name
Abstract | ||
|---|---|---|
In this paper, we consider dynamical systems with multiple modes of operation and state jumps. Within each mode, the dynamics are given by linear differential-algebraic equations (DAEs). State jumps can occur when in a fixed mode as well as when transitioning between modes. We refer to this class of hybrid systems as hybrid DAEs. Motivated by the lack of results to study invariance properties of nonsmooth DAE systems, we characterize the properties of the omega limit set of solutions to these systems and propose an invariance principle. To this end, we employ results allowing for decomposition of DAEs (and switched DAEs) into the so-called quasi-Weierstrass form and for the study of invariance of hybrid inclusions. The results are illustrated in examples. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/ACC.2014.6859488 | American Control Conference |
Keywords | Field | DocType |
differential algebraic equations,linear algebra,DAE decomposition,dynamical systems,hybrid DAE,hybrid inclusions,invariance principle,linear differential-algebraic equations,nonsmooth DAE systems,omega limit set,quasi-Weierstrass form,state jumps,Hybrid systems,Stability of hybrid systems | Multiple modes,Invariance principle,Invariant (physics),Mathematical analysis,Control theory,Differential algebraic geometry,Dynamical systems theory,Differential algebraic equation,Hybrid system,Limit set,Mathematics | Conference |
ISSN | Citations | PageRank |
0743-1619 | 1 | 0.38 |
References | Authors | |
3 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pablo Nanez | 1 | 27 | 2.96 |
| Ricardo G. Sanfelice | 2 | 216 | 27.88 |