TY - JOUR
T1 - Controllability and observability for a class of controlled switching impulsive systems
AU - Liu, Bin
AU - Marquez, Horacio J.
PY - 2008
Y1 - 2008
N2 - In this note, we study the controllability and observability problem for a class of controlled switching impulsive systems. By proposing several formula of variation of parameters for this type of time-varying systems and employing the characteristic polynomial theory of matrix, we establish necessary and sufficient conditions for controllability and controlled observability with respect to a given switching time sequence. Specializing the obtained results to the case of time-invariant linear switching impulsive systems, we derive some simple algebraic criteria, which include the results reported in the literature for time-invariant linear switching systems, linear impulsive systems and classical linear systems. One example is worked out for illustration.
AB - In this note, we study the controllability and observability problem for a class of controlled switching impulsive systems. By proposing several formula of variation of parameters for this type of time-varying systems and employing the characteristic polynomial theory of matrix, we establish necessary and sufficient conditions for controllability and controlled observability with respect to a given switching time sequence. Specializing the obtained results to the case of time-invariant linear switching impulsive systems, we derive some simple algebraic criteria, which include the results reported in the literature for time-invariant linear switching systems, linear impulsive systems and classical linear systems. One example is worked out for illustration.
KW - Controllability
KW - Controlled observability
KW - Hybrid systems
KW - Switching impulsive systems
KW - Variation of parameters
UR - http://www.scopus.com/inward/record.url?scp=56549106713&partnerID=8YFLogxK
U2 - 10.1109/TAC.2008.2007476
DO - 10.1109/TAC.2008.2007476
M3 - Article
SN - 0018-9286
VL - 53
SP - 2360
EP - 2366
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 10
ER -