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A homogeneity property of a class of discrete-time systems

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Abstract

In this paper we study a dynamic property of a class of discrete-time systems. Such a property, that we call discrete-homogeneity, is verifiable algebraically in the transition map of the system. Discrete-homogeneity allows to establish stability features of the system by considering only the discrete-homogeneity degree. Such stability properties are studied by means of Lyapunov and Lyapunov-like functions.
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Dates and versions

hal-01611972 , version 1 (06-10-2017)

Identifiers

  • HAL Id : hal-01611972 , version 1

Cite

Tonametl Sanchez, Denis Efimov, Andrey Polyakov, Jaime Moreno, Wilfrid Perruquetti. A homogeneity property of a class of discrete-time systems. 56th IEEE Conference on Decision and Control (CDC), Dec 2017, Melbourne, Australia. ⟨hal-01611972⟩
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