@inproceedings{17758f04347d4cb8a99d390ef9ef6ea2,
title = "On the solvability and almost sure stability of discrete-time Markov jump linear singular systems",
abstract = "The problem of the existence of a unique solution of a discrete-time Markov jump linear singular systems (MJLSS) and the Almost sure stability (ASS) of these systems are addressed in this paper. Based on the concept of regularity mode-to-mode, a sufficient condition for the existence and uniqueness of a solution of a certain class of MJLSS is given. Concerning the stability, a new concept of top Lyapunov exponent for an MJLSS is proposed and it is used to obtain a test to check the stability of the system.",
keywords = "Eigenvalues and eigenfunctions, Markov processes, Mathematical model, Stability criteria, Standards, Yttrium",
author = "Ch{\'a}vez-Fuentes, {Jorge R.} and Mayta, {Jorge E.} and Costa, {Eduardo F.} and Terra, {M. H.}",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 54th IEEE Conference on Decision and Control, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",
year = "2015",
month = feb,
day = "8",
doi = "10.1109/CDC.2015.7403012",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "5067--5072",
booktitle = "54rd IEEE Conference on Decision and Control,CDC 2015",
}