Normal forms for discrete-time switched linear systems

Abstract : In this paper, we propose an algebraic approach to the analysis of discrete-time switched linear systems, where we investigate linear relations between words over the matrices of the system. We introduce normal form matrix words as well as a numerical criterion to reduce drastically the number of linear matrix inequalities conditions for checking stability. In particular, we relate exponential stability to quadratic stability of another system. We illustrate our methods with an example.
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https://hal.archives-ouvertes.fr/hal-02069712
Contributor : Cyrille Chenavier <>
Submitted on : Friday, March 15, 2019 - 6:47:37 PM
Last modification on : Saturday, March 23, 2019 - 1:15:22 AM

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  • HAL Id : hal-02069712, version 1

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Cyrille Chenavier, Rosane Ushirobira, Laurentiu Hetel. Normal forms for discrete-time switched linear systems. 2019. ⟨hal-02069712⟩

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