Geodesic
Problems of differential and topological diagnostics. Part 7. Differential diagnostics in some systems of direct and indirect control
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 3, pp. 31-45

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Proposed work is the seventh work of the cycle on differential and topological diagnostics. Diagnostics of malfunctions in the system of indirect control of an object whose motion is described by nonlinear ordinary differential equations of the third order (the problem of B.V. Bulgakov) is considered. In the diagnostic algorithm used, the scope of control is selected, when a certain constant value is assigned to each faulty system, and according to certain rules, the numbers obtained in the process of integrating equations and characterizing the functional state of the system are compared with it. Troubleshooting is also considered in one system of direct control of the movement of the aircraft, which can be described by nonlinear differential equations of the second order. At the same time, a certain diagnostic algorithm is built and used in accordance with the previously developed methodology.
Keywords: problem of differential diagnostics, indirect control system, direct control system, diagnostics, sphere of control, asymptotic stability. 
@article{VSGU_2021_27_3_a3,
     author = {M. V. Shamolin},
     title = {Problems of differential and topological diagnostics. {Part} 7. {Differential} diagnostics in some systems of direct and indirect control},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {31--45},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2021_27_3_a3/}
}
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M. V. Shamolin. Problems of differential and topological diagnostics. Part 7. Differential diagnostics in some systems of direct and indirect control. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 3, pp. 31-45. http://geodesic.mathdoc.fr/item/VSGU_2021_27_3_a3/