ROOM 3 Opening Ceremony and Plenary Prof Silviu Lulian NICULESCU, PhD Delay as a control parameter
Channel: Cinvestav - Ingeniería Eléctrica
Date: 2022-11-15

One of the simplest ways to describe the temporal heterogeneity of processes and/or phenomena consists in using delays in the dynamic representation of the corresponding system. Such systems are infinite-dimensional and are governed by a particular type of differential equations, namely delay-differential equations.
The purpose of this talk is to briefly present some ”user-friendly” (frequency-domain) methods and techniques for the analysis and control of the dynamical systems in the presence of constant (pointwise) delays, explaining how the delay, seen as a parameter, can affect the (exponential) stability of the system and how it can be used as a control parameter. The presentation is as simple as possible, emphasizing the main intuitive ideas to develop theoretical results, and their potential use in practical applications. Various illustrative examples complete the presentation.