We consider closed loop control systems in which feedback laws take values in a discrete set U and we study the Zeno phenomenon, i.e. the accumulation of discontinuities with respect to time. The results generalize those obtained in [F. Ceragioli, Finite valued feedback laws and piecewise classical solutions, Nonlinear Analysis 65 (2006) 984–998] for the case where U is finite to the case where U may be infinite. An application to a quantized control problem is also shown.
Discrete Valued Feedback Laws and Zeno Phenomenon / Ceragioli, Francesca Maria. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 70:(2009), pp. 3254-3263. [10.1016/j.na.2008.04.028]
Discrete Valued Feedback Laws and Zeno Phenomenon
CERAGIOLI, Francesca Maria
2009
Abstract
We consider closed loop control systems in which feedback laws take values in a discrete set U and we study the Zeno phenomenon, i.e. the accumulation of discontinuities with respect to time. The results generalize those obtained in [F. Ceragioli, Finite valued feedback laws and piecewise classical solutions, Nonlinear Analysis 65 (2006) 984–998] for the case where U is finite to the case where U may be infinite. An application to a quantized control problem is also shown.Pubblicazioni consigliate
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https://hdl.handle.net/11583/1896509
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