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Growth rate of switched homogeneous systems
Date
2008-11-01
Author
Tuna, Sezai Emre
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We consider discrete-time homogeneous systems under arbitrary switching and study their growth rate, the analogue of joint spectral radius for switched linear systems. We show that a system is asymptotically stable if and only if its growth rate is less than unity. We also provide an approximation algorithm to compute growth rate with arbitrary accuracy.
Subject Keywords
Control and Systems Engineering
,
Electrical and Electronic Engineering
URI
https://hdl.handle.net/11511/48981
Journal
AUTOMATICA
DOI
https://doi.org/10.1016/j.automatica.2008.03.017
Collections
Department of Electrical and Electronics Engineering, Article
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S. E. Tuna, “Growth rate of switched homogeneous systems,”
AUTOMATICA
, pp. 2857–2862, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48981.