Modeling of complex time-varying dynamical systems. Vrije Universiteit Brussel
* varying set points (e.g. in flight flutter dynamics),
* external influences causing system parameter variations (e.g. temperature changes, ...
Over the past years, the dynamic and acoustic qualities of products have become an increasingly important design criterion in many industrial sectors. Moreover, in order to improve the cost-efficiency of products, lightweight designs are emerging. However, their high stiffness-to-mass ratio can often be the cause of noise and vibration problems. Therefore, it is customary to use complex damping materials such as viscoelastic and porous ...
The project aims at developing a framework for developing and analyzing optimization algorithms based on the theory of continuous-time dynamical systems. Traditionally, this viewpoint has been quite successful in the realm of convex optimization and monotone inclusions. However, most modern optimization problems encountered in data analysis, machine learning and control are nonconvex. Therefore, based on ongoing work in our group, the main ...
The ever increasing desire of humans to automate tasks that are laborious and repetitive has made control systems prevalent in today's society. Applications are widespread in industry, transportation, agriculture and in the household.
Novel challenging control applications and the continual quest to improve efficiency, have led to the rise of advanced control methods relying on optimization, such as model predictive control (MPC). ...
Physical scientists use dynamical systems to model the ever-changing world we live in. Such systems are often complex, so mathematicians encode them in terms that are better understood: by representing them as collections of rigid transformations of infinite-dimensional spaces, called operator algebras, we can analyse the systems using functional analytic tools. My research deals with operator algebras known as C*-algebras.
Operator ...