Description of main research interests

The main research interest of the group are the robust control of linear partial differential equations and infinite-dimensional systems, and the practical engineering applications of the theory. You can find an introduction in a poster from here!

Mathematical systems theory studies the behaviour and properties of dynamical models that are described by ordinary and partial differential equations, as well as other models with dynamical behaviour. Such dynamical systems arise from modelling phenomena that are encountered in engineering applications and in the nature.

Some concrete examples of control problems can also be found in these introductory slides and this short video overview:

Mathematical control theory concentrates on influencing the behaviour of such dynamical models to either improve the properties of the system or to drive the system into a desirable trajectory.

• Trajectory control for unmanned vehicles, such as quadrocopters
• Automatic control of driverless cars
• Rejection of disturbances in industrial processes and acoustics
• Removal of unwanted vibrations in buildings and in machinery

The main research area of the Systems Theory Research Group at Tampere University is the control of models involving partial differential equations and infinite-dimensional systems. This class of models facilitates the control of processes involving, in particular,

• Heat diffusion and material flows
• Vibrations and wave phenomena
• Elastic deformations and bending

Key points of interest of the research group:

• Theory of Distributed Parameter Systems
• Robust output regulation and the Internal Model Principle
• Tracking and rejection of periodic signals
• Semigroup theory and asymptotic behaviour of linear partial differential equations

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