TY - JOUR
T1 - Linear Hybrid Systems with Periodic Jumps
T2 - A Notion of Strong Observability and Strong Detectability
AU - Rios, Hector
AU - Davila, Jorge
AU - Teel, Andrew R.
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2020/6
Y1 - 2020/6
N2 - In this paper, two important structural properties, i.e., strong observability and strong detectability, are introduced for linear hybrid systems with periodic jumps. These properties are characterized in terms of geometric and algebraic conditions over the system matrices. The concepts and characterizations of the weakly unobservable subspace and the hybrid invariant zeros are also introduced, respectively. An algorithm to compute the weakly unobservable subspace is provided. In addition, it is shown that there exists a close relationship between the hybrid invariant zeros and the properties ofstrong observability and strong detectability. Some examples illustrate the proposed properties.
AB - In this paper, two important structural properties, i.e., strong observability and strong detectability, are introduced for linear hybrid systems with periodic jumps. These properties are characterized in terms of geometric and algebraic conditions over the system matrices. The concepts and characterizations of the weakly unobservable subspace and the hybrid invariant zeros are also introduced, respectively. An algorithm to compute the weakly unobservable subspace is provided. In addition, it is shown that there exists a close relationship between the hybrid invariant zeros and the properties ofstrong observability and strong detectability. Some examples illustrate the proposed properties.
KW - Hybrid invariant zeros
KW - hybrid systems
KW - strong detectability
KW - strong observability
UR - http://www.scopus.com/inward/record.url?scp=85072526245&partnerID=8YFLogxK
U2 - 10.1109/TAC.2019.2940230
DO - 10.1109/TAC.2019.2940230
M3 - Artículo
AN - SCOPUS:85072526245
SN - 0018-9286
VL - 65
SP - 2640
EP - 2646
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 6
M1 - 8827648
ER -