@inproceedings{5b1d82eeb3d24591bbd80592b39809fa,

title = "Control of piecewise-linear hybrid systems on simplices and rectangles",

abstract = "A necessary and sufficient condition for the reachability of a piecewise-linear hybrid system is formulated in terms of reachability of a finite-state discrete-event system and of a finite family of affine systems on a polyhedral set. As a subproblem, the reachability of an affine system on a polytope is considered, with the control objective of reaching a particular facet of the polytope. If the polytope is a simplex, necessary and sufficient conditions for the solvability of this problem by affine state feedback are described. If the polytope is a multi-dimensional rectangle, then a solution is obtained using continuous piecewise-affine state feedback",

author = "L.C.G.J.M. Habets and {Schuppen, van}, J.H.",

year = "2001",

doi = "10.1007/3-540-45351-2_23",

language = "English",

isbn = "3-540-41866-0",

series = "Lecture Notes in Computer Science",

publisher = "Springer",

pages = "261--274",

editor = "{Di Benedetto}, M.D. and A.L. Sangiovanni-Vincentelli",

booktitle = "Hybrid Systems : Computation and Control ; Proceedings of the 4th International Workshop, HSCC 2001, Rome, Italy, March 28-30, 2001",

address = "Germany",

}