We investigate the inversion problem for a discrete dynamical system with a vector input. Algorithms are proposed that solve the problem subject to given constraints (a wave model of the input is assumed given). Applicability conditions for the proposed algorithms are derived and bounds on their rate of convergence are determined. The results generalize a previously studied problem of inversion of a discrete system with a scalar input.
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S. K. Korovin, A. V. Kraev, and V. V. Fomichev, “Some inversion algorithms for discrete systems,” Nelineinaya Dinamika i Upravlenie, No. 4, Fizmatlit, Moscow (2004), pp. 119–126.
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Translated from Nelineinaya Dinamika i Upravlenie, No. 7, pp. 327–334, 2010.
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Kraev, A.V. Some algorithms for inversion of vector discrete systems. Comput Math Model 24, 271–278 (2013). https://doi.org/10.1007/s10598-013-9176-z
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DOI: https://doi.org/10.1007/s10598-013-9176-z