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Stability analysis of dynamic systems in the polynomial vector-matrix representation. (English. Russian original) Zbl 1401.93164

J. Comput. Syst. Sci. Int. 57, No. 2, 171-178 (2018); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2018, No. 2, 3-10 (2018).
Summary: This paper suggests frequency-domain stability criteria for homogeneous multiconnected automatic control systems that allow an easy stability analysis of high-order systems of a large dimension. The results are confirmed by mathematical modeling.

MSC:

93D09 Robust stability
93C05 Linear systems in control theory
93B11 System structure simplification
93C80 Frequency-response methods in control theory
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References:

[1] A. A. Krasovskii et al., Handbook on Automatic Control Theory (Nauka, Moscow, 1987) [in Russian].
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