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Deterministic Systems

The $D$-decomposition theory

E. N. Gryazina

Moscow Institute of Physics and Technology

Abstract: A class of linear systems defined by characteristic polynomials with real coefficients is studied. Decomposition of the parameter space in a domain with different numbers of stable roots is investigated. The number of such domains for one and two parameters is estimated from above. Examples in which the number of such domains is maximal are given.

Presented by the member of Editorial Board: B. T. Polyak

Received: 12.05.2004

 English version: Automation and Remote Control, 2004, 65:12, 1872–1884

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