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Avtomatika i Telemekhanika, 2017, Issue 5, Pages 36–55 (Mi at14798)  
This article is cited in 8 scientific papers (total in 8 papers)

Nonlinear Systems

Robust stability of differential-algebraic equations with an arbitrary unsolvability index

A. A. Shcheglova, A. D. Kononov

Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (689 kB) Citations (8)
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Abstract: Consideration was given to the linear stationary systems of differential-algebraic equations with an arbitrarily high unsolvability index. Conditions were established guaranteeing the internal structure of the system at hand against the internal structural modifications caused by the perturbations of the matrix coefficients. Under the assumptions of structural persistence, the sufficient conditions for robust stability were obtained, and the values of real stability radii were given.
Keywords: differential-algebraic equations, arbitrarily high index, robust stability, stability radius.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-00101
Russian Academy of Sciences - Federal Agency for Scientific Organizations II.2
Ministry of Education and Science of the Russian Federation НШ-8081.2016.9
This work was supported in part by the Russian Foundation for Basic Research, project no. 16-31-00101, Complex Program of Fundamental Research of SD RAS, no. II.2, and the Council for Grants at the President of Russian Federation for State Support of the Leading Scientific Schools, project no. NSh-8081.2016.9.
Presented by the member of Editorial Board: A. P. Kuleshov

Received: 29.06.2016
English version:
Automation and Remote Control, 2017, Volume 78, Issue 5, Pages 798–814
DOI: https://doi.org/10.1134/S0005117917050034
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Shcheglova, A. D. Kononov, “Robust stability of differential-algebraic equations with an arbitrary unsolvability index”, Avtomat. i Telemekh., 2017, no. 5, 36–55; Autom. Remote Control, 78:5 (2017), 798–814
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
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