Title :
Modeling and control of halfspace systems
Author :
Potluri, Ramprasad ; Holloway, Lawrence E.
Author_Institution :
Dept. of Electr. & Comput. Eng., Kentucky Univ., Lexington, KY, USA
Abstract :
A halfspace system has the form Exk+1 ≤ Fxk + Buk, where E, F ∈ ℜm×n, B ∈ ℜm×p. An example of modeling in this framework is presented. Also presented are the concept of reachability of a static target tube and an algorithm for maintaining a halfspace system in the reachable static target tube.
Keywords :
computational complexity; large-scale systems; linear programming; modelling; reachability analysis; complex systems; convex polyhedron; difference inclusion; discrete-time interval systems; halfspace system; linear programming; maintainability; optimization; polynomial complexity; reachability; square matrices; static target tube; Artificial intelligence; Computer aided manufacturing; Control system synthesis; Diffusion tensor imaging; Linear programming; Manufacturing systems; Robots; Uncertainty;
Conference_Titel :
System Theory, 2003. Proceedings of the 35th Southeastern Symposium on
Print_ISBN :
0-7803-7697-8
DOI :
10.1109/SSST.2003.1194590