Brief paper: Growth rate of switched homogeneous systems

Authors:
S. Emre Tuna
Affiliations:
Electrical and Electronics Engineering Department, Middle East Technical University, Ankara 06531, Turkey
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 4
Cited 0

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Abstract

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.