Details

Autor(en) / Beteiligte

• Baillieul, J
• Willems, J. C

Titel

Mathematical Control Theory [Elektronische Ressource]

Ort / Verlag

New York, NY : Springer New York

Erscheinungsjahr

1999

Link zu anderen Inhalten

• Volltext

Beschreibungen/Notizen

• Itisunclearwhenexactlythefieldofmathematicalelectricalengineeringwasborn, butthereisnodoubtthatKolmogoroff,Krein,Shannon,andWienergavethefielda definitiveforminthelatefortiesandearlyfiftiesthroughtheirworkonfilteringand prediction theory, information theory, and operatortheory. Kalman's introduction in the early sixties of the dynamical viewpoint in filtering and control-with its associatedmethodsofdifferentialequationsandMarkovprocesses-gavethefield new strength and vigor. The best work in systems and control theory makes it clear that the creative modeling ofphenomenaand theconceptualizationofsystems using mathematics and the subsequentmathematical analysis ofthese models to get a deeper understanding ofthe phenomenaare whatis central to the field. To paraphrase Galileo, the bookofthe engineered world is often written in the language ofhighermathematics. Roger Brockett has been a remarkable contributor to this tradition of mathematical engineering. This book bears testimony to his creativity, virtuosity, and intellectual integrity. It gives me great pleasure to see the exploration of his ideasinthepapersthathavebeenwrittenforthisvolume.Assomebodywhoknows Roger Brockett's work well, Ican see his invisible touch throughout the book. One oftheprivileges ofbeing associatedwith auniversity is the satisfactionof seeinggraduate students develop their potential and becomecreative scientists in theirownright.Ihaveknownalltheauthorsformanyyears, somewhiletheywere stillgraduatestudents,andthereforeitisdoublyapleasuretoseetheircontributions in this volume. This is an auspicious momentin Roger's life. Notoften will hehave the opportunity to look both forwards and backwards, to take stockofthe past and predict the future. Itremains for me to wish that he will continue his creative life for the nextsixty years