The Lyapunov exponent and joint spectral radius of pairs of matrices are hard?when not impossible?to compute and to approximate-Reference-Cited by-同舟云学术

The Lyapunov exponent and joint spectral radius of pairs of matrices are hard?when not impossible?to compute and to approximate

Published:1997-03 Issue:1 Volume:10 Page:31-40
ISSN:0932-4194
Container-title:Mathematics of Control, Signals, and Systems
language:en
Short-container-title:Math. Control Signal Systems

Author:

Tsitsiklis John N.,Blondel Vincent D.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/BF01219774.pdf

Reference33 articles.

1. Lecture Notes in Mathematics,1991

2. N. E. Barabanov, Lyapunov indicators of discrete inclusions, parts I, II, and III,Automat, i Telemekk,2 (1988), 40?46,3 (1988), 24?29, and5 (1988), 17?24 (Translation inAutomat. Remote Control).

3. M. Berger and Y. Wang, Bounded semigroup of matrices,Linear Algebra Appl.,166 (1992), 21?27.

4. V. D. Blondel and J. N. Tsitsiklis, When is a pair of matrices mortal?, Technical report LIDS-P-2314, LIDS, MIT, January 1996. To appear inInformation Processing Letters.

5. V. D. Blondel and J. N. Tsitsiklis, Complexity of stability and controllability of elementary hybrid systems, preprint (1997).

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