Akian, Marianne; Bliman, Pierre-Alexandre; Sorine, Michel Control of delay systems with relay. (English) Zbl 1008.93049 IMA J. Math. Control Inf. 19, No. 1-2, 133-155 (2002). 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. Reviewer: Tamaz Tadumadze (Tbilisi) Cited in 8 Documents MSC: 93C23 Control/observation systems governed by functional-differential equations 34K11 Oscillation theory of functional-differential equations 93C10 Nonlinear systems in control theory Keywords:delay differential equations; control of oscillations; slowly oscillating solutions; relay nonlinearity PDFBibTeX XMLCite \textit{M. Akian} et al., IMA J. Math. Control Inf. 19, No. 1--2, 133--155 (2002; Zbl 1008.93049) Full Text: DOI