Exponential stability of stochastic delay interval systems with Markovian switching

@article{Mao2002ExponentialSO,
  title={Exponential stability of stochastic delay interval systems with Markovian switching},
  author={Xuerong Mao},
  journal={IEEE Trans. Autom. Control.},
  year={2002},
  volume={47},
  pages={1604-1612}
}
  • X. Mao
  • Published 10 December 2002
  • Mathematics
  • IEEE Trans. Autom. Control.
In the past few years, a lot of research has been dedicated to the stability of interval systems as well as the stability of systems with Markovian switching. However, little research has been on the stability of interval systems with Markovian switching, which is the topic of this paper. The system discussed is the stochastic delay interval system with Markovian switching. It is a very advanced system and takes all the features of interval systems, Ito equations, and Markovian switching, as… 
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TLDR
Delays-dependent stability criteria are derived by introducing some relaxation matrices which can be chosen properly to lead to a less conservative result, and significant improvement of the estimate of stability limit over some existing results in the literature is given.
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