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Matematicheskie Zametki, 2002, Volume 72, Issue 4, Pages 535–546
DOI: https://doi.org/10.4213/mzm443 (Mi mzm443) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Synthesis of State Descriptors in the Problem of Multiprogram Stabilization of Bilinear Systems

N. V. Smirnov

Saint-Petersburg State University
Full-text PDF (217 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm443
Abstract: In the present paper, the problem of stabilizing a family of program motions of a bilinear nonstationary system with the help of a nonlinear full-order state descriptor for this system and a nonlinear Luenberger descriptor is considered. Methods to synthesize such descriptors and to construct a multiprogram stabilizing control in the form of nonlinear feedback are suggested. Theorems on sufficient conditions for the existence of a solution of the above problem are proved.
Received: 20.10.2000
Revised: 10.11.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 4, Pages 495–504
DOI: https://doi.org/10.1023/A:1020584328739
Bibliographic databases:
UDC: 531.36:62-50
Language: Russian
Citation: N. V. Smirnov, “Synthesis of State Descriptors in the Problem of Multiprogram Stabilization of Bilinear Systems”, Mat. Zametki, 72:4 (2002), 535–546; Math. Notes, 72:4 (2002), 495–504
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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