Please use this identifier to cite or link to this item:
|Title:||Invariance kernels of single-input planar nonlinear systems|
|Keywords:||Invariance and viability kernels;Extremal vector fields;Switched systems;Differential inclusions|
|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.|
|Appears in Collections:||Dept of Electronic and Computer Engineering Research Papers|
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.