Abstract:
For some classes of systems described by ordinary differential equations, a survey of algorithms for the dynamic reconstruction of inputs is presented. The algorithms described in the paper are stable with respect to information noises and computation errors; they are based on methods from the theory of ill-posed problems as well as on appropriate modifications of N. N. Krasovskiis principle of extremal aiming, which is known in the theory of guaranteed control.
Citation:
Yu. S. Osipov, A. V. Kryazhimskii, V. I. Maksimov, “Some algorithms for the dynamic reconstruction of inputs”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 1, 2011, 129–161; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S86–S120