Diagnostic algorithms in some systems of direct and indirect control
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 205 (2022), pp. 107-118

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We discuss the diagnostics of malfunctions in a system of indirect control of an object whose motion is governed by third-order nonlinear ordinary differential equations (B. V. Bulgakov's problem). We also consider diagnostics of malfunctions in one system of direct control of the aircraft described by second-order nonlinear differential equations. Using methods developed earlier, we construct a diagnostic algorithm.
Keywords: problem of differential diagnostics, indirect control system, direct control system, diagnostics, sphere of control, asymptotic stability.
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     title = {Diagnostic algorithms in some systems of direct and indirect control},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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M. V. Shamolin. Diagnostic algorithms in some systems of direct and indirect control. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 205 (2022), pp. 107-118. http://geodesic.mathdoc.fr/item/INTO_2022_205_a6/