Geodesic
The analysis of the sliding parameter dependence from current state of the adaptive variable structure system
Dalʹnevostočnyj matematičeskij žurnal, Tome 1 (2000) no. 1, pp. 74-85

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The operation features of the variable structure adaptive control system for the second order non-stationary linear dynamic object are considered. The availability of dependence of a sliding parameter from current values of the structure modification block coefficients is justified. The formulas for account of these coefficients limiting significances are obtained. The conducted researches have allowed to justify theoretically the new rather effective laws of adaptive adjustment of a sliding line and to remove a number of problems on a path of their practical realization. 
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     author = {A. V. Lebedev and V. F. Filaretov},
     title = {The analysis of the sliding parameter dependence from current state of the adaptive variable structure system},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {74--85},
     publisher = {mathdoc},
     volume = {1},
     number = {1},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2000_1_1_a9/}
}
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A. V. Lebedev; V. F. Filaretov. The analysis of the sliding parameter dependence from current state of the adaptive variable structure system. Dalʹnevostočnyj matematičeskij žurnal, Tome 1 (2000) no. 1, pp. 74-85. http://geodesic.mathdoc.fr/item/DVMG_2000_1_1_a9/