Title :
Reachability and controllability of discrete time descriptor systems
Author :
Anastasia, G. ; Karampetakis, Nicholas P.
Author_Institution :
Dept. of Math., Aristotle Univ. of Thessaloniki, Thessaloniki, Greece
Abstract :
The causal and non-causal reachability Gramians are used, in order to define the reachability subspace which is the set of all states reachable from the origin. Controllability of the disrete-time regular descriptor system by means of the forward solution is examined and new criteria for testing reachability (controllability from the origin) and controllability to the origin in the forward sense are proved.
Keywords :
controllability; discrete time systems; reachability analysis; set theory; causal reachability Gramians; discrete time regular descriptor system controllability; discrete time regular descriptor system reachability subspace; forward solution; noncausal reachability Gramians; Controllability; Educational institutions; Equations; Testing; Vectors;
Conference_Titel :
Communications, Computing and Control Applications (CCCA), 2012 2nd International Conference on
Conference_Location :
Marseilles
Print_ISBN :
978-1-4673-4694-8
DOI :
10.1109/CCCA.2012.6417867