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Avtomatika i Telemekhanika, 1965, Volume 26, Issue 5, Pages 753–763
(Mi at11352)
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This article is cited in 4 scientific papers (total in 5 papers)
The method of matrix inequalities in the theory of stability of non-linear controlled systems. III. Absolute stability of systems with hysteresis non-linearities
V. A. Yakubovich Leningrad
Abstract:
It is shown that the Popov's frequency condition remains true for the case of hysteresis nonlinearity of a parameter in the Popov's condition is of a definite sign which depends on the direction along which the hysteresis loop is bypassed. Frequency condition of absolute stability for nonlinearities of the type of “backlash” has been obtained. The evidences are based on solutions of special matrix inequalities [1].
Received: 17.07.1963
Citation:
V. A. Yakubovich, “The method of matrix inequalities in the theory of stability of non-linear controlled systems. III. Absolute stability of systems with hysteresis non-linearities”, Avtomat. i Telemekh., 26:5 (1965), 753–763; Autom. Remote Control, 26 (1965), 753–763
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https://www.mathnet.ru/eng/at11352 https://www.mathnet.ru/eng/at/v26/i5/p753
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Abstract page: | 336 | Full-text PDF : | 159 |
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