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On new estimates for Lyapunov exponents of discrete time varying linear systems

✍ Scribed by Adam Czornik; Aleksander Nawrat

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
264 KB
Volume
46
Category
Article
ISSN
0005-1098

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✦ Synopsis

In this paper, we propose certain new bounds for the Lyapunov exponents of discrete time varying linear systems. The bounds are expressed in terms of spectral radii of matrix coefficients and therefore may be used to establish the exponential stability of time varying system on the basis of eigenvalues of individual coefficient. This approach is known in the literature as frozen time method.

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