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Avtomatika i Telemekhanika, 2014, Issue 8, Pages 48–58
(Mi at14106)
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This article is cited in 5 scientific papers (total in 5 papers)
Linear Systems
Method of forbidden regions in the dynamic system matrices root clustering problem
V. G. Melnikov, N. A. Dudarenko St. Petersburg National Research University of Information Technologies, Mechanics, and Optics, St. Petersburg, Russia
Abstract:
New criteria for root-clustering of the dynamic system matrices in multiply connected regions were presented. A concept of the forbidden region was introduced, and a generalization of the Lyapunov–Jury theorem onto the multiply connected regions was proposed. The necessary and sufficient conditions for root-clustering outside the forbidden region were established as a sequence of matrix inequalities. Construction of the conditions for root-clustering outside the frequency bands and robust root-clustering in multiply connected region was illustrated by way of examples.
Citation:
V. G. Melnikov, N. A. Dudarenko, “Method of forbidden regions in the dynamic system matrices root clustering problem”, Avtomat. i Telemekh., 2014, no. 8, 48–58; Autom. Remote Control, 75:8 (2014), 1393–1401
Linking options:
https://www.mathnet.ru/eng/at14106 https://www.mathnet.ru/eng/at/y2014/i8/p48
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Statistics & downloads: |
Abstract page: | 263 | Full-text PDF : | 46 | References: | 62 | First page: | 42 |
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