Browsing 1 - Oberwolfach Preprints (OWP) by Author "Verriest, Erik I."

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Observability of systems with delay convoluted observation

[OWP-2014-10] Verriest, Erik I.; Ivanov, Anatoli F. (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)

This paper analyzes finite dimensional linear time-invariant systems with observation of a delay, where that delay satisfies a particular implicit relation with the state variables, rendering the entire problem nonlinear. ...
Square wave periodic solutions of a differential delay equation

[OWP-2014-09] Ivanov, Anatoli F.; Verriest, Erik I. (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)

We prove the existence of periodic solutions of the differential delay equation $\varepsilon\dot{x}(t) + x(t)= f(x(t-1)), \varepsilon>0$ under the assumptions that the continuous nonlinearity $f(x)$ satisfies the negative ...