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• W2067193711 abstract "Root locus analysis is a graphical method to determine how the roots of the characteristic equation of a linear time-invariant feedback loop change with the loop gain. In this paper we show that a similar analysis can be carried out for randomly sampled systems, i.e., controlled linear systems sampled at random times spaced by independent and identically distributed time-varying intervals. For such systems, the roots of a characteristic equation determine the behavior of expected values of signals in the loop. The root locus analysis in this context is especially useful for positive systems, for which (almost sure) stability can be concluded if the roots of the characteristic equation have a negative real part, and it is particularly simple when the distribution of the intervals between sampling times is exponential or Erlang." @default.
• W2067193711 created "2016-06-24" @default.
• W2067193711 creator A5013274345 @default.
• W2067193711 creator A5063241688 @default.
• W2067193711 date "2014-06-01" @default.
• W2067193711 modified "2023-09-27" @default.
• W2067193711 title "Root locus analysis for randomly sampled systems" @default.
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• W2067193711 doi "https://doi.org/10.1109/ecc.2014.6862601" @default.
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