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Analysis of discrete automatic control systems with varying parameters using the method of orthogonal expansions. I

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An analysis of discrete automatic control systems with varying parameters is considered when the coefficients of the difference equation of the system satisfy specific conditions. The analysis is carried out by expanding the output signal in a specially formulated orthonormalized system of functions. The computation algorithm may be realized on a digital computer.

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Literature cited

  1. Ya. Z. Tsypkin, Theory of Linear Sampled-Data Systems [in Russian], Fizmatgiz, Moscow (1963).

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  2. V. V. Solodovnikov, A. N. Dmitriev, and N. D. Egupov, “Analysis and synthesis of nonlinear automatic control systems by means of Volterra series and orthogonal spectra,” in: Engineering Cybernetics, Automatic Control Theory [in Russian], Book 3, Part II, V. V. Solodovnikov (editor), Mashinostroenie, Moscow (1969).

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 15, No. 3, pp. 427–437, March, 1972.

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Egupov, N.D., Ivanov, V.A. Analysis of discrete automatic control systems with varying parameters using the method of orthogonal expansions. I. Radiophys Quantum Electron 15, 320–328 (1972). https://doi.org/10.1007/BF02210672

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  • DOI: https://doi.org/10.1007/BF02210672

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