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Open AccessArticle

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

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, 6(5), 78; https://doi.org/10.3390/math6050078
Received: 20 February 2018 / Revised: 22 April 2018 / Accepted: 4 May 2018 / Published: 9 May 2018
(This article belongs to the Special Issue Mathematics on Automation Control Systems)
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. View Full-Text
Keywords: discrete system; multirate sampling; single rate sampling; numerical radius; spectral radius; stability discrete system; multirate sampling; single rate sampling; numerical radius; spectral radius; stability
MDPI and ACS Style

De la Sen, M. On Some Sufficiency-Type Stability and Linear State-Feedback Stabilization Conditions for a Class of Multirate Discrete-Time Systems. Mathematics 2018, 6, 78.

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