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2012 Stability and Limit Oscillations of a Control Event-Based Sampling Criterion
M. De la Sen, J. C. Soto, A. Ibeas
J. Appl. Math. 2012(SI10): 1-25 (2012). DOI: 10.1155/2012/684292


This paper investigates the presence of limit oscillations in an adaptive sampling system. The basic sampling criterion operates in the sense that each next sampling occurs when the absolute difference of the signal amplitude with respect to its currently sampled signal equalizes a prescribed threshold amplitude. The sampling criterion is extended involving a prescribed set of amplitudes. The limit oscillations might be interpreted through the equivalence of the adaptive sampling and hold device with a nonlinear one consisting of a relay with multiple hysteresis whose parameterization is, in general, dependent on the initial conditions of the dynamic system. The performed study is performed on the time domain.


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M. De la Sen. J. C. Soto. A. Ibeas. "Stability and Limit Oscillations of a Control Event-Based Sampling Criterion." J. Appl. Math. 2012 (SI10) 1 - 25, 2012.


Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 1244.93131
MathSciNet: MR2935535
Digital Object Identifier: 10.1155/2012/684292

Rights: Copyright © 2012 Hindawi


Vol.2012 • No. SI10 • 2012
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