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Well-posed bimodal piecewise linear systems do not exhibit Zeno behavior
| Content Provider | Semantic Scholar |
|---|---|
| Author | Camlibel, Kanat M. |
| Copyright Year | 2008 |
| Abstract | The phenomenon of infinitely mode transitions in a finite time interval is called Zeno behavior in hybrid systems literature. It plays a critical role in the study of numerical methods and fundamental system and control theoretic properties of hybrid systems. This paper studies Zeno behavior for bimodal piecewise linear systems with possibly discontinuous dynamics. Our treatment is inspired by the work of Imura and Van der Schaft on the well-posedness of the same type of systems. The main contribution of the paper is two folded. Firstly, we show that ImuraVan der Schaft conditions for well-posedness guarantee that Filippov solutions have certain local properties. Secondly, we employ these in order to prove that bimodal piecewise linear systems do not exhibit Zeno behavior. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://folk.ntnu.no/skoge/prost/proceedings/ifac2008/data/papers/1753.pdf |
| Alternate Webpage(s) | https://www.rug.nl/research/portal/files/2764428/2008ProcIFACCamlibel.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Hybrid system Inspiration function Linear system Numerical method Piecewise linear continuation REM Sleep Behavior Disorder Solutions Theory Well-posed problem Whole Earth 'Lectronic Link |
| Content Type | Text |
| Resource Type | Article |
