Stability Analysis of Positive Semi-Markovian Jump Linear Systems with State Resets

نویسندگان

  • Masaki Ogura
  • Clyde F. Martin
چکیده

This paper studies the mean stability of positive semi-Markovian jump linear systems. We show that their mean stability is characterized by the spectral radius of a matrix that is easy to compute. In deriving the condition we use a certain discretization of a semi-Markovian jump linear system that preserves stability. Also we show a characterization for the exponential mean stability of continuous-time positive Markovian jump linear systems. Numerical examples are given to illustrate the results.

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عنوان ژورنال:
  • SIAM J. Control and Optimization

دوره 52  شماره 

صفحات  -

تاریخ انتشار 2014