Abstract
Robustness and preservation of stability and synchronization in the presence of structural changes is an important issue in the study of chaotic dynamical systems. In this work we present a methodology to establish conditions for preservation of stability in dynamical system in terms of linear matrix polynomial evaluation. The idea is to construct a group of dynamical transformations under which stability is retained along the stable, unstable and synchronization manifolds using simultaneous Schur decompositions.
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