Over the last decade the field of adaptive control where no identification mechanisms are invoked has become a major research topic. This book presents a state-of-the-art report on the following more specific area: the system classes under consideration contain linear (possibly nonlinearly perturbed), finite dimensional, continuous time systems which are stabilizable by high-gain output feedback. The properties of minimum phase systems and strictly positive real systems are studied in their own right. These results are applied to design simple adaptive controllers involving a switching...

The need for a rigorous mathematical theory for Differential-Algebraic Equations (DAEs) has its roots in the widespread applications of controlled dynamical systems, especially in mechanical and electrical engineering. Due to the strong relation to (ordinary) differential equations, the literature for DAEs mainly started out from introductory textbooks. As such, the present monograph is new in the sense that it comprises survey articles on various fields of DAEs, providing reviews, presentations of the current state of research and new concepts in - Controllability for linear DAEs -...