Wu, L.Shi, P.Gao, H.2014-10-152014-10-152010IEEE Transactions on Automatic Control, 2010; 55(5):1213-12190018-92861558-2523http://hdl.handle.net/2440/86264This paper is concerned with the state estimation and sliding-mode control problems for continuous-time Markovian jump singular systems with unmeasured states. Firstly, a new necessary and sufficient condition is proposed in terms of strict linear matrix inequality (LMI), which guarantees the stochastic admissibility of the unforced Markovian jump singular system. Then, the sliding-mode control problem is considered by designing an integral sliding surface function. An observer is designed to estimate the system states, and a sliding-mode control scheme is synthesized for the reaching motion based on the state estimates. It is shown that the sliding mode in the estimation space can be attained in a finite time. Some conditions for the stochastic admissibility of the overall closed-loop system are derived. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theory.en© 2010 IEEEMarkovian jumpobserversingular systemssliding-mode controlunmeasured statesJournal article002012828510.1109/TAC.2010.20422340002774906000172-s2.0-7795216646219543Shi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]