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http://bura.brunel.ac.uk/handle/2438/11368
Title: | Invariance kernels of single-input planar nonlinear systems |
Authors: | Maggiore, M Rawn, B Lehn, P |
Keywords: | Invariance and viability kernels;Extremal vector fields;Switched systems;Differential inclusions |
Issue Date: | 2012 |
Publisher: | Society for Industrial and Applied Mathematics |
Citation: | SIAM Journal on Control and Optimization, 50(2): 1012 - 1037, (2012) |
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. |
URI: | http://epubs.siam.org/doi/abs/10.1137/100804784 http://bura.brunel.ac.uk/handle/2438/11368 |
DOI: | http://dx.doi.org/10.1137/100804784 |
ISSN: | 0363-0129 1095-7138 |
Appears in Collections: | Dept of Electronic and Electrical Engineering Research Papers |
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