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Abstract
A nonnegative matrix A is said to be strongly robust if its maxalgebraic eigencone is universally reachable, i.e., if the orbit of any initial vector ends up with a maxalgebraic eigenvector of A. Consider the case when the initial vector is restricted to an interval and A can be any matrix from a given interval of nonnegative circulant matrices. The main aim of this paper is to classify and characterize the six types of interval robustness in this situation. This naturally leads us also to study the maxalgebraic spectral theory of circulant matrices and the relation of inclusion between attraction cones of circulant matrices in maxalgebra.
Original language  English 

Pages (fromto)  5986 
Journal  Linear Algebra and its Applications 
Volume  550 
Early online date  27 Mar 2018 
DOIs  
Publication status  Published  1 Aug 2018 
Keywords
 maxalgebra
 circulant matrices
 interval analysis
 reachability
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Dive into the research topics of 'Reachability of eigenspaces for interval circulant matrices in maxalgebra'. Together they form a unique fingerprint.Projects
 1 Finished

Tropical Optimisation
Engineering & Physical Science Research Council
1/04/17 → 31/08/19
Project: Research Councils