Title :
Necessary and Sufficient Conditions for Reachability on a Simplex
Author :
Roszak, Bartek ; Broucke, Mireille E.
Author_Institution :
Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, 10 King’s College, M5S 3G4, Toronto Ontario, Canada, bartek@control.utoronto.ca.
Abstract :
The reachability problem has received significant attention in the hybrid control literature with many questions still left unanswered. In this paper we solve the general problem of reaching a set of facets of an n-dimensional simplex in finite time, for a system evolving with linear affine dynamics. Necessary and sufficient conditions are presented in the form of inequalities on the vertices of the simplex, and a linear affine controller is constructed that solves the reachability problem.
Keywords :
Control system synthesis; Controllability; Educational institutions; Linear systems; Piecewise linear techniques; Reachability analysis; State feedback; Strontium; Sufficient conditions; Terminology;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582905
