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Control of delay systems with relay. (English) Zbl 1008.93049

Oscillatory properties of a solution to a system \[ \begin{aligned} \dot{x}(t)&=-\frac{1}{\tau}(k_{l}y(t)+k_{p} \operatorname {sgn} x(t-h)+x(t)), \\ \dot{y}(t)&= \operatorname {sgn} x(t-h), \end{aligned} \] are studied.

MSC:

93C23 Control/observation systems governed by functional-differential equations
34K11 Oscillation theory of functional-differential equations
93C10 Nonlinear systems in control theory
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