Mathematical Systems Theory

Mathematical systems theory is concerned with problems related to dynamic phenomena in interaction with their environment.
These problems include:
•    Modeling. Obtaining a mathematical model that reflects the main features. A mathematical model may be represented by difference or differential equations, but also by inequalities, algebraic equations, and logical constraints.

•    Analysis and simulation of the mathematical model.

•    Prediction and estimation. Identification of the system behavior based on noisy and incomplete measurements.

•    Control. By choosing inputs or, more general, by imposing additional constraints on some of the variables, the system may be influenced so as to obtain certain desired behavior. Feedback is an important example of control.

As the complexity and importance of our many industrial structures and manufacturing systems grow, so does the guiding hand of Systems and Control. This active research area is an important discipline in many fields, involving such specialists as engineers, physicists, mathematicians and designers.
The world of systems and control guides more of our lives than most of us realise. Areas as diverse as the manufacturing and semiconductor industry, infrastructure management, transportation, communications and logistics, energy delivery, the medical profession, and the family household are increasingly dependent on it. And as the world becomes more and more automated and guided, its impacts will spread even further.