Please use this identifier to cite or link to this item: http://buratest.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 Computer Engineering Research Papers

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