4.7 Article

Dynamic Output-Feedback Control for Singular Markovian Jump System: LMI Approach

Journal

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 62, Issue 10, Pages 5396-5400

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2017.2691311

Keywords

Linear matrix inequalities (LMIs); Markov processes; output feedback and observer; singular Markovian jump systems (SMJS); stochastic systems

Funding

  1. Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [NRF-2014R1A1A2055122]
  2. Ministry of Science, ICT and Future Planning, Korea, under the ICT Consilience Creative Program [IITP-R0346-16-1007]
  3. National Research Foundation of Korea [2014R1A1A2055122] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

Ask authors/readers for more resources

For the dynamic output-feedback stabilization of continuous-time singular Markovian jump systems, this paper introduces the necessary and sufficient condition, whereas the previous research works suggested the sufficient conditions. A special choice of the block entries of Lyapunov matrices leads to derive the necessary and sufficient condition in terms of linear matrix inequalities. A numerical example shows the validity of the derived results.

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