Name
Abstract | ||
|---|---|---|
This paper presents a decision algorithm for the analysis of the stability of a class of planar switched linear systems, modeled by hybrid automata. The dynamics in each location of the hybrid automaton is assumed to be linear and asymptotically stable; the guards on the transitions are hyperplanes in the state space. We show that for every pair of an ingoing and an outgoing transition related to a location, the exact gain in the norm of the vector induced by the dynamics in that location can be computed. These exact gains are used in defining a gain automaton which forms the basis of an algorithmic criterion to determine if a planar hybrid automaton is stable or not. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.sysconle.2012.06.005 | Systems & Control Letters |
Keywords | Field | DocType |
Stability,Hybrid system,Switched system,Automaton | Continuous automaton,Deterministic automaton,Linear system,Control theory,Block cellular automaton,Hybrid system,Probabilistic automaton,Mathematics,Hybrid automaton,Stability theory | Journal |
Volume | Issue | ISSN |
61 | 9 | 0167-6911 |
Citations | PageRank | References |
2 | 0.39 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jan Willem Polderman | 1 | 24 | 5.26 |
| Rom Langerak | 2 | 308 | 39.16 |