From March 21st to March 24th, 2016, Prof. Frédéric Mazenc (Inria, Paris-Saclay, France) will give the following course at the University of L’Aquila for the EECI Graduate School on Control:
Tools for nonlinear control, Lyapunov function, positivity, applications.
Abstract: We will present fundamental results pertaining to ordinary differential equations, discrete-time systems and nonlinear control theory. In particular, we will review the notion of Lyapunov function, the LaSalle Invariance Principle, the Jurdjevic-Quinn’s theorem and the techniques called backstepping and forwarding. We will perform construction of strict Lyapunov functions. We will study the notion of positive systems. We will study several applied problems (chemostats, PVTOL, cart-pendulum system).
The module is partially based on the research monograph: M. Malisoff, F. Mazenc, Constructions of Strict Lyapunov Functions, Spinger-Verlag, serie : Communications and Control Engineering, 2009.
Web (info): http://eeciinstitute.web-events.net/m14/.