Sampling decomposition and asymptotic zeros behaviour of sampled-data SISO systems. An eigenvalue-based approach
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This paper deals with some problems concerning the zero behaviour of a class of sampled-data SISO systems. More precisely, given a continuous-time system, we derive all the sampling intervals guaranteeing the invariance of the number of unstable zeros in each interval. To perform such an analysis, we adopt an eigenvalue perturbation-based approach. Various illustrative numerical examples complete the presentation. © The authors 2015. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
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Eigenvalue perturbation; Minimal-phase system; Sampling period; SISO Continuous time systems; Eigen-value; Eigenvalue perturbation; Minimal phase; Sampled data; Sampling interval; Sampling period; SISO; SISO systems; Eigenvalues and eigenfunctions
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