Mathematical systems theory I: modelling, state space analysis, stability and robustness

This is the first volume of a book which presents the mathematical foundations of systems and control theory in a self-contained, comprehensive, detailed and mathematically rigorous way. This volume is devoted to the state space analysis of dynamical systems, whereas the 2nd volume will be devoted to control. It combines features of a detailed introductory textbook with that of a reference source. Throughout the book there are many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions. It is accessible to mathematics students after two years of mathematics and graduate engineering students specializing in systems theory. The reader is gradually brought to the frontiers of research and on the way therequired mathematical background material is developed with detailed proofs. As such the book will be useful for established researchers in systems theory as well as mathematicians and engineers interested in the mathematical foundations of systems and control. Comprehensive coverage of an important field in applied mathematics INDICE: Mathematical Models.- Introduction to State Space Theory.- Stability Theory.- Perturbation Theory.- Uncertain Spaces.- Appendix: Linear Algebra.- Complex Analysis.- Convolutions and Transforms.- Linear Operators.

• ISBN: 978-3-642-03940-9
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 804
• Fecha Publicación: 01/11/2009
• Nº Volúmenes: 1
• Idioma: Inglés