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Reach control on simplices by piecewise affine feedback
Proceedings of the 2011 American Control Conference
We study the reach control problem for affine systems on simplices, and the focus is on cases when the problem is not solvable by continuous state feedback. We examine from a geometric viewpoint the structural properties of the system which make continuous state feedbacks fail. This structure is encoded by so-called reach control indices, which are defined and developed in the paper. Based on these indices, we propose a subdivision algorithm and associated piecewise affine feedback. The methoddoi:10.1109/acc.2011.5990740 fatcat:ph5ab2sfsng3hmvl5wuahoaxpy