4.2 Article

Stabilization of stochastic differential equations with Markovian switching by feedback control based on discrete-time state observation with a time delay

Journal

STATISTICS & PROBABILITY LETTERS
Volume 115, Issue -, Pages 16-26

Publisher

ELSEVIER
DOI: 10.1016/j.spl.2016.03.024

Keywords

Mean-square exponential stability; Discrete-time state observation; Time delay; Stochastic differential equations with Markovian switching

Funding

  1. Natural Science Fund of Shanghai Normal University [SK201603]
  2. National Natural Science Foundation of China [11471071]
  3. Natural Science Foundation of Shanghai [14ZR1401200]
  4. fundamental research funds for central universities [2232014D3-13]
  5. Leverhulme Trust [RF-2015-385]
  6. EPSRC [EP/E009409/1]
  7. Royal Society of London [IE131408]
  8. Royal Society of Edinburgh [RKES115071]
  9. London Mathematical Society [11219]
  10. Edinburgh Mathematical Society [RKES130172]
  11. Ministry of Education (MOE) of China [MS2014DHDX020]
  12. Engineering and Physical Sciences Research Council [EP/E009409/1] Funding Source: researchfish
  13. EPSRC [EP/E009409/1] Funding Source: UKRI

Ask authors/readers for more resources

Feedback control based on discrete-time state observation for stochastic differential equations with Markovian switching was initialized by Mao (2013). In practice, various effects could cause some time delay in the control function. Therefore, the time delay is taken into account for the discrete-time state observation in this letter and the mean-square exponential stability of the controlled system is investigated. This letter is devoted as a continuous research to Mao (2013). (C) 2016 Elsevier B.V. All rights reserved.

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