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Realization theory for linear hybrid systems, part II: Reachability, observability and minimality
| Content Provider | Semantic Scholar |
|---|---|
| Author | Petreczky, Mihály H. Schuppenvan J. |
| Copyright Year | 2008 |
| Abstract | htmlabstractThe paper is the second part of the series of papers started in [1]. The paper deals with observability, reachability and minimality of linear hybrid systems. Linear hybrid systems are continuous-time hybrid systems without guards, whose continuous dynamics is determined by time-invariant linear control systems. We will show that that if a set of input-output maps has a realization by a linear hybrid system, then it has a realization by a minimal linear hybrid system. We will present conditions for observability and span-reachability of linear hybrid systems and we will show that minimality is equivalent to observability and span-reachability. We will sketch algorithms for checking observability and span-reachability and for transforming a linear hybrid system to a minimal one. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://5c0e4613-a-62cb3a1a-s-sites.googlegroups.com/site/mihalypetreczky/tech_reportII.pdf?attachauth=ANoY7crJQlUtBWaApO_JCuMcIyhhidaQoqm2ZDo1ZZ4L1miEZrNWvod2kJ5RQiYQr1jHAyHytpeYObjhd3xqdUUSsWO-Jnb6vLanKru5qRb46uNL5_tLAhkQ4Xcpp1vG_nUb1xW1QFKBPAtRRTQcZqUKzah7uRKWUlHtSQQLZp1cw1Ni2I_oFzHZkMYXV-Qwylb3krSGyreguPa02IsInMdUTitCNbR0hw%3D%3D&attredirects=0 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
