Stability of Singular Stochastic Systems With Markovian Switching

  title={Stability of Singular Stochastic Systems With Markovian Switching},
  author={Lirong Huang and Xuerong Mao},
  journal={IEEE Transactions on Automatic Control},
In recent years, singular hybrid systems have received considerable attention. However, few results are concerned with stability of singular hybrid stochastic systems. Based on a stability result for singular hybrid systems, this note studies mean-square stability of singular hybrid stochastic systems. It is found that the diffusions and the Markov chain may play important roles in system analysis in mean-square sense. As a special case, a criterion for mean-square stability of hybrid… CONTINUE READING
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A global finitetime observers for nonlinear systems

D. Bernstein
IEEE Trans . Autom . Control • 2010

Observer design for a class of nonlinear descriptor systems

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference • 2009

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