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Popov criterion; stability; time-varying nonlinearity; Lur’e type nonlinearity; interval transfer function

References:

[1] Brockett R. W., Lee H. B.: **Frequency–domain instability criteria for time–varying and nonlinear systems**. Proc. IEEE 55 (1967), 604–618

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[8] Popov V. M.: **Absolute stability of nonlinear systems of automatic control**. Translated from Automatika i Telemekhanika 22 (1961), 961–979 MR 0133563 | Zbl 0107.29601

[9] Rozenvasser E. N.: **The absolute stability of non–linear systems**. Translated from Automatika i Telemekhanika 24 (1963), 304–313 MR 0160996

[10] Siljak D.: **Parameter analysis of absolute stability**. Automatica 5 (1969), 385–387 DOI 10.1016/0005-1098(69)90079-X | Zbl 0179.41203

[11] Siljak D.: **Polytopes of nonnegative polynomials**. In: Proc. of the American Control Conf. (ACC), Pittsburgh 1989, pp. 193-199

[12] Zeheb E.: **Robust stability of non–linear time varying systems**. In: Proc. of the 5th IEEE Mediterranean Conf. on Control and Systems, Paphos 1997