Print Email Facebook Twitter Invariance Kernels of Single-Input Planar Nonlinear Systems Title Invariance Kernels of Single-Input Planar Nonlinear Systems Author Maggiore, B. Rawn, B.G. Lehn, P. Faculty Electrical Engineering, Mathematics and Computer Science Department Department of Electrical Sustainable Energy Date 2012-04-26 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 Subject invariance and viability kernelsextremal vector fieldsswitched systemsdifferential inclusions To reference this document use: http://resolver.tudelft.nl/uuid:afa63e50-f9f8-48f3-9243-5bcf05fec461 DOI https://doi.org/10.1137/100804784 Publisher Society for Industrial and Applied Mathematics (SIAM) ISSN 0363-0129 Source SIAM Journal on Control and Optimization, 50 (2), 2012 Part of collection Institutional Repository Document type journal article Rights © 2012 SIAM Files PDF Rawn_2012.pdf 487.58 KB Close viewer /islandora/object/uuid:afa63e50-f9f8-48f3-9243-5bcf05fec461/datastream/OBJ/view