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On crudeness of sliding modes in systems with discontinuous control functions. (Russian. English summary) Zbl 0581.93031
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.

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
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