Optimal design of networks of positive linear systems under stochastic uncertainty

@article{Ogura2016OptimalDO,
  title={Optimal design of networks of positive linear systems under stochastic uncertainty},
  author={Masaki Ogura and V. Preciado},
  journal={2016 American Control Conference (ACC)},
  year={2016},
  pages={2930-2935}
}
  • Masaki Ogura, V. Preciado
  • Published 2016
  • Mathematics, Computer Science
  • 2016 American Control Conference (ACC)
  • In this paper, we study networks of positive linear systems subject to time-invariant and random uncertainties. We present linear matrix inequalities for checking the stability of the whole network of the systems around the origin with a prescribed probability and a decay rate. Based on this condition, we then give an efficient method, based on geometric programming, to find the optimal parameters of the probability distribution describing the uncertainty. We illustrate our results by studying… CONTINUE READING
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    References

    SHOWING 1-10 OF 26 REFERENCES
    Robust stability of a class of interconnected nonlinear positive systems
    • 11
    An LMI condition for the robust stability of uncertain continuous-time linear systems
    • 182
    Positive Linear Systems: Theory and Applications
    • 1,543
    • PDF
    On the Spectra of General Random Graphs
    • 120
    • PDF
    Robust Stability of LTI Systems Over Semialgebraic Sets Using Sum-of-Squares Matrix Polynomials
    • J. Lavaei, A. Aghdam
    • Computer Science, Mathematics
    • IEEE Transactions on Automatic Control
    • 2008
    • 30
    Kronecker products and matrix calculus in system theory
    • 1,781
    A new discrete-time robust stability condition (
    • 409
    • PDF