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The describing function method and free vibrations in nonlinear systems. (English) Zbl 0274.93019


MSC:

93C10 Nonlinear systems in control theory
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010)
45C05 Eigenvalue problems for integral equations
Full Text: DOI

References:

[1] ’Mathematical legitimacy of equivalent linearization by describing functions’, Automatic and Remote Control, ed. Butterworths, London, 1961.
[2] Sandberg, Bell System Tech. J. 43 pp 911– (1964) · Zbl 0128.36001 · doi:10.1002/j.1538-7305.1964.tb01012.x
[3] Holtzman, Bell System Tech. J. 46 pp 2405– (1967) · Zbl 0153.40703 · doi:10.1002/j.1538-7305.1967.tb02464.x
[4] ’Oscillations of nonlinear systems’ (in Russian), Nauka, Moskow, 1969.
[5] Garber, Avtomatika i Telemekhanika 24 pp 482– (1963)
[6] Topological Methods in the Theory of Nonlinear Integral Equations (translation), Pergamon Press, Oxford, 1963.
[7] ’Frequency methods in the theory of nonlinear dynamical systems’ (in Polish), W.N.T. Warsaw, 1970.
[8] ’Theorems on the existence of periodic vibrations based upon the describing function method’, 4th Congress IFAC. Tech. session 41, NOT, Warsaw, 1969.
[9] Kudrewicz, Rozprawy Elektrotechniczne 15 pp 587– (1969)
[10] Kudrewicz, Archiwum Automatyki i Telemechaniki 16 pp 375– (1971)
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