Cooperativity and its use in robust control and state estimation for uncertain dynamic systems with engineering applications

This work shows a general applicable approach to robustly control uncertain dynamic systems, where the uncertainty is given by bounded intervals. The presented robust control methods rely on a verified enclosure of the state intervals. Since state-of-the-art-methods to calculate this fail, the property of cooperativity is used. However, since not all systems are naturally cooperative, a transformation routine is established to widen the possible application of this method. Different application scenarios chosen from a variety of engineering fields are used to validate the theoretical findings.Diese Arbeit zeigt einen generell verwendbaren Ansatz, um ein unsicheres dynamisches System robust zu regeln. Der gezeigte Ansatz verwendet dabei verifizierte Intervalleinschlüsse, die sich aus der intervallbasierten Unsicherheit ergeben. Da moderne Rechenmethoden hierbei versagen, wird die Eigenschaft der Kooperativität ausgenutzt, um dies dennoch zu ermöglichen. Da nicht alle Systeme diese Eigenschaft direkt aufweisen, wird eine Transformationsroutine entwickelt, um den gezeigten Ansatz auf andere Einsatzszenarien zu erweitern. Dies wird durch verschiedene Anwendungen in der Arbeit bewiesen

Mathematical modeling in support of optimization of treatment of leukemia

Leukemia is a malignant disease of the hemopoietic tissues. This form of cancer causes a continuous large overproduction of mal functioning immature blood cells, at the expense of the production of normal blood cells. Other blood cell cancers are the lymphomas and multiple myeloma, related to uncontrolled growth of, respectively, cells that make up the lymphatic system and of plasma cells in the bone marrow