Abstract
We consider the problem of constructing a stabilizer described by a system of linear differential equations and such that a given dynamical system becomes stable after being closed by the feedback produced by the stabilizer. Moreover, we require that the dimension of the stabilizer, that is, the dimension of its state vector, be minimal. We assume that the given system has either a single input and multiple outputs (a SIMO system) or, on the opposite, multiple inputs and a single output (a MISO system).
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Original Russian Text © I.V. Kapalin, V.V. Fomichev, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 11, pp. 1573–1582.
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Kapalin, I.V., Fomichev, V.V. Minimal stabilization of vector (MISO and SIMO) systems. Diff Equat 47, 1592–1602 (2011). https://doi.org/10.1134/S0012266111110061
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DOI: https://doi.org/10.1134/S0012266111110061