On Some Sufficiency-Type Stability and Linear State-Feedback Stabilization Conditions for a Class of Multirate Discrete-Time Systems

M. De la Sen
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M. De la Sen: Institute of Research and Development of Processes IIDP, Facultad de Ciencia y Tecnologia, Universidad del País Vasco., Leioa (Bizkaia), PO Box. 644 of Bilbao, 48080 Bilbao, Spain

Mathematics, 2018, vol. 6, issue 5, 1-18

Abstract: This paper presents and discusses the stability of a discrete multirate sampling system whose sets of sampling rates (or sampling periods) are the integer multiple of those operating on all the preceding substates. Each of such substates is associated with a particular sampling rate. The sufficiency-type stability conditions are derived based on simple conditions on the norm, spectral radius and numerical radius of the matrix of the dynamics of a system parameterized at the largest sampling period.

Keywords: discrete system; multirate sampling; single rate sampling; numerical radius; spectral radius; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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