$D$-decomposition theory

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I'm looking for a book in english (all i can find is in russian) with a good explanation of this method. I would like to find some theorems about the fact that in each region is characterized by the same number of unstable characteristic roots. Anyone can help me?

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I suppose that you are already aware of this article, but here it goes: Gryazina, E.N. The D-Decomposition Theory, Automation and Control Theory (2004) 65: 1872. And there is also this survey article: Gryazina, E.N., Polyak, B.T. & Tremba, A.A. D-decomposition technique state-of-the-art, Automation and Control Theory (2008) 69: 1991.