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DC Field | Value | Language |
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dc.contributor.author | Maggiore, M | - |
dc.contributor.author | Rawn, B | - |
dc.contributor.author | Lehn, P | - |
dc.date.accessioned | 2015-09-17T10:46:18Z | - |
dc.date.available | 2012-01 | - |
dc.date.available | 2015-09-17T10:46:18Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | SIAM Journal on Control and Optimization, 50(2): 1012 - 1037, (2012) | en_US |
dc.identifier.issn | 0363-0129 | - |
dc.identifier.issn | 1095-7138 | - |
dc.identifier.uri | http://epubs.siam.org/doi/abs/10.1137/100804784 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/11368 | - |
dc.description.abstract | The problem of determining invariance kernels for planar single-input nonlinear systems is considered. If K is a closed set, its invariance kernel is the largest subset of K with the property of being positively invariant for arbitrary measurable input signals. It is shown that the boundary of the invariance kernel is a concatenation of solutions of two so-called extremal vector fields. Moreover, only the solutions through a finite number of special points are of interest. This result makes it possible to devise an algorithm which determines the invariance kernel of a simply connected set in a finite number of steps. | en_US |
dc.format.extent | 1012 - 1037 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.subject | Invariance and viability kernels | en_US |
dc.subject | Extremal vector fields | en_US |
dc.subject | Switched systems | en_US |
dc.subject | Differential inclusions | en_US |
dc.title | Invariance kernels of single-input planar nonlinear systems | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1137/100804784 | - |
dc.relation.isPartOf | SIAM Journal on Control and Optimization | - |
pubs.issue | 2 | - |
pubs.volume | 50 | - |
Appears in Collections: | Dept of Electronic and Electrical Engineering Research Papers |
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Fulltext.pdf | 631.95 kB | Adobe PDF | View/Open |
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