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

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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)

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.

Suggested Citation

  • M. De la Sen, 2018. "On Some Sufficiency-Type Stability and Linear State-Feedback Stabilization Conditions for a Class of Multirate Discrete-Time Systems," Mathematics, MDPI, vol. 6(5), pages 1-18, May.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:5:p:78-:d:145457
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    References listed on IDEAS

    as
    1. M. de la Sen & A. Ibeas, 2008. "Stability Results for Switched Linear Systems with Constant Discrete Delays," Mathematical Problems in Engineering, Hindawi, vol. 2008, pages 1-28, March.
    2. Honglei Lin & Shuli Sun, 2017. "Distributed fusion estimation for multi-sensor asynchronous sampling systems with correlated noises," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(5), pages 952-960, April.
    3. E. Shaikhet, Leonid, 2004. "Construction of Lyapunov functionals for stochastic difference equations with continuous time," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(6), pages 509-521.
    4. Satnesh Singh & Sivaramakrishnan Janardhanan, 2017. "Sliding mode control-based linear functional observers for discrete-time stochastic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(15), pages 3246-3253, November.
    Full references (including those not matched with items on IDEAS)

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