Analysis and Description of Nonlinear Systems
Part 1 of the module Introduction to the Theory of Nonlinear Systems (ET-12 08 07)
Quick Overview
Lecturer
General information
The lecture is aimed at students in the main study (6th or 8th semester) of Electrical Engineering (ET), Information Systems Engineering (IS), Mechatronics (MT), Regenerative Energy Systems (RES), Business Engineers (WING) Teacher Training(LA) and Computer Science.
The course is focused to introduce methods to describe and analyse nonlinear dynamical systems, with particular focus on electrical circuits. With CMOS technology approaching atomic boundaries, a great deal of research efforts are currently devoted to the development of novel devices, which, combining a number of functionalities within a
single physical nanoscale volume, may allow to boost integrated circuit performance in the years to come, keeping the trend predicted by Moore’ s law, despite further shrinking in transistor dimensions will no longer be possible. The traditional approach of engineers to investigate nonlinear systems entails their preliminary linearisation. However, the "linearise-then-analyse" strategy behind standard system analysis methods miss important aspects of the nonlinear behaviour of beyond-CMOS circuits and systems. This issue brings new life to Nonlinear System Theory, which had been erroneously overlooked for too long. This course elucidates techniques enabling a thorough modelling and investigation of nonlinear dynamical systems both in the time as well as in the frequency domains. Exercises, based upon analytical calculations and computer simulations, allow the students to get a better understanding of the theoretical concepts provided in the lectures. The course provides evidence for the benefits, which circuit design may draw from a thorough investigation of the nonlinear dynamics of devices and their combinations, as proven in various recent research studies, where the application of system-theoretic techniques treated in the course, e.g. the Dynamic Route Map-based Stability Analysis, the Volterra Series Paradigm, and the Harmonic Balance Method, has enabled to gain a deep insight into the peculiar behaviour of memory-resistive systems.
At the end of the semester, the knowledge is interrogated by an oral or written exam.
Current
Summer semester 2022:
- Wednesday, 3rd DS (Lecture)
- Thursday, 3rd DS (Exercise), only odd weeks
Please register yourself on OPAL link below. The online lecture link is provided only via OPAL message to registered students. The first lecture is on Wednesday 06.04.2022 from 11:10 to 12:40 and the second lecture is on Thursday 07.04.2022 from 11:10 to 12:40.
Due to students’ requests, the lectures are now re-scheduled every Monday from 13:00 to 14:30 and all Thursdays at the odd weeks from 11:10 to 12:40.