Stability of block-triangular stationary random matrices
نویسندگان
چکیده
The objective of this note is to prove, under certain technical conditions, that the top-Lyapunov exponent of a strictly stationary random sequence of block-triangular matrices is equal to the maximum of the top-Lyapunov exponents of its diagonal blocks. This study is partially motivated by a basic technical problem in the identification of GARCH processes. A recent extension of the above inheritance theorem in the context of Lq -stability will also be briefly described. c © 2008 Elsevier B.V. All rights reserved.
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عنوان ژورنال:
- Systems & Control Letters
دوره 57 شماره
صفحات -
تاریخ انتشار 2008