zbMATH — the first resource for mathematics

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.

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