TY - GEN
T1 - Equivalence between Mean square, Stochastic and Exponential stability for Singular jump linear systems
AU - Chávez-Fuentes, Jorge R.
AU - Costa, Eduardo F.
AU - Terra, M. H.
PY - 2011
Y1 - 2011
N2 - This paper studies Mean square stability, Stochastic stability and Exponential stability for discrete-time singular linear systems whose parameters are driven by a finite state Markov chain. It is shown the equivalence of these notions under certain conditions. New necessary conditions for mean square stability in terms of generalized Lyapunov equations for homogeneous and non-homogeneous of this class of systems are also given.
AB - This paper studies Mean square stability, Stochastic stability and Exponential stability for discrete-time singular linear systems whose parameters are driven by a finite state Markov chain. It is shown the equivalence of these notions under certain conditions. New necessary conditions for mean square stability in terms of generalized Lyapunov equations for homogeneous and non-homogeneous of this class of systems are also given.
UR - http://www.scopus.com/inward/record.url?scp=84860697143&partnerID=8YFLogxK
U2 - 10.1109/CDC.2011.6160897
DO - 10.1109/CDC.2011.6160897
M3 - Conference contribution
AN - SCOPUS:84860697143
SN - 9781612848006
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 2877
EP - 2882
BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Y2 - 12 December 2011 through 15 December 2011
ER -