Now showing items 1-3 of 3

    • Verdejo Fredes, Humberto; Kliemann, Wolfgang; Vargas Díaz, Luis (Elsevier, 2015)
      Applications of linear stability via Lyapunov exponents in high dimensional test systems are presented. The stochastic disturbance model is given by a bounded Markov diffusion process, as it appears in the description ...
    • Verdejo Fredes, Humberto; Kliemann, Wolfgang; Vargas Díaz, Luis (Elsevier, 2014)
      This paper considers the stability of moments of stochastic systems, such as stability of the mean or mean-square stability. The exponential growth behavior of moments is compared to almost sure exponential growth via ...
    • Verdejo Fredes, Humberto; Kliemann, Wolfgang; Vargas Díaz, Luis; Becker, Cristhian (Elsevier, 2015)
      Two concepts are proposed to characterize the behavior of stochastic systems under sustained random perturbations in time: Using Lyapunov exponents we define the region where an electric power system can be operated under ...