Fridman, L. M. On crudeness of sliding modes in systems with discontinuous control functions. (Russian. English summary) Zbl 0581.93031 Avtom. Telemekh. 1985, No. 5, 172-175 (1985). The paper is concerned with a singularly disturbed system with a control function whose slow control variables are discontinuous and figure only in equations of slow motions. Conditions are found under which the motions in sliding mode that occur in a formally truncated system model slow motions of the entire system. Cited in 1 Document MSC: 93C15 Control/observation systems governed by ordinary differential equations 34E15 Singular perturbations, general theory for ordinary differential equations 93C99 Model systems in control theory 93C05 Linear systems in control theory Keywords:discontinuous control; singularly disturbed system; sliding mode PDF BibTeX XML Cite \textit{L. M. Fridman}, Avtom. Telemekh. 1985, No. 5, 172--175 (1985; Zbl 0581.93031)