TY - GEN
T1 - Classification of linear planar systems with hybrid feedback control
AU - Litsyn, Elena
AU - Myasnikova, Marina
AU - Nepomnyashchikh, Yurii
AU - Ponosov, Arcady
PY - 2005/12/1
Y1 - 2005/12/1
N2 - Continuing the authors' studies of hybrid dynamical systems, i.e. differential equations governed by finite automata, an efficient and complete classification of control linear systems in the plane is offered. The set of all such systems is divided into equivalence classes which are explicitly characterized by some quantitative invariants. The canonical representatives in each class are determined. It is shown how to use this classification to find out whether a given system is stabilizable or not.
AB - Continuing the authors' studies of hybrid dynamical systems, i.e. differential equations governed by finite automata, an efficient and complete classification of control linear systems in the plane is offered. The set of all such systems is divided into equivalence classes which are explicitly characterized by some quantitative invariants. The canonical representatives in each class are determined. It is shown how to use this classification to find out whether a given system is stabilizable or not.
UR - http://www.scopus.com/inward/record.url?scp=33847177238&partnerID=8YFLogxK
U2 - 10.1109/CDC.2005.1583208
DO - 10.1109/CDC.2005.1583208
M3 - Conference contribution
AN - SCOPUS:33847177238
SN - 0780395689
SN - 9780780395688
T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
SP - 6522
EP - 6526
BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Y2 - 12 December 2005 through 15 December 2005
ER -