Abstract
Problems of dynamic analysis and parametric synthesis of a discrete-continuous model of a gyroscopic integrator of linear accelerations with floating platform using methods of combined dynamic systems theory are studied. Based on theorems of stable characteristic quasipolynomials and asymptotically stable and unstable quasirational fractions, stability domains are constructed using the D-decomposition method. It is shown that the parametric synthesis of optimal parameters of the simplest integro-differential correcting block reduces considerably resonance values of amplitude-frequency characteristics, control time, and relative error.
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