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Essays on the absolute stability theory. (English. Russian original) Zbl 1195.34003
Autom. Remote Control 67, No. 10, 1610-1644 (2006); translation from Avtom. Telemekh 2006, No. 10, 86-119 (2006).
Summary: A brief historical background of the development of the absolute stability theory is presented, and some of its methods and approaches, as well as the results obtained using them, are discussed. The kinds of systems under consideration are named, and applications of the methods and results of the absolute stability theory to other scientific and practical fields for solution of the engineering, mechanical, physical, and other problems are presented.

MSC:
34-02 Research exposition (monographs, survey articles) pertaining to ordinary differential equations
01A60 History of mathematics in the 20th century
34-03 History of ordinary differential equations
93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory
93-03 History of systems and control theory
93D20 Asymptotic stability in control theory
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References:
[1] Lur’e, A.I. and Postnikov, V.N., On the Theory of Stability of the Controlled Systems, Prikl. Mat. Mekh., 1944, vol. 8, no. 3, pp. 246–248.
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