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- W2155495850 abstract "This paper studies the relation between robust L/sub 2/-stability and robust exponential stability in the context of sampled-data systems. It is shown that they are equivalent irrespective of the perturbation structures/sets to be considered, if the nominal sampled-data system is exponentially stable, if the perturbations are either finite-dimensional linear time-invariant or h-periodic (where h is the sampling period), and if the perturbations are internally stable. Thus, a solid theoretical basis is established for the robust stabilization/performance design for sampled-data systems, in which only L/sub 2/-stability conditions are taken care of. The arguments are mainly based on the spectral properties of the transfer operators of sampled-data systems. Through a 'nonasymptotic' characterization of the transfer operator, its spectrum is determined in terms of finite-dimensional eigenvalue problems. The close connection with such eigenvalue problems and the exponential stability condition is a key that. enables us to deduce the above conclusion." @default.
- W2155495850 created "2016-06-24" @default.
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- W2155495850 date "2002-01-01" @default.
- W2155495850 modified "2023-10-18" @default.
- W2155495850 title "A study on the spectrum of the sampled-data transfer operator with application to robust exponential stability problems" @default.
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- W2155495850 doi "https://doi.org/10.1109/acc.2002.1025248" @default.
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