Rudolf E. Kalman's quest for algebraic characterizations of positivity

摘要

The present paper is a tribute to Professor Rudolf Emil Kalman, father of Mathematical System Theory and a towering figure in the field of Control and Dynamical Systems. Amongst his seminal contributions was a series of results and insights into the role of positivity in System Theory and in Control Engineering. The paper contains a collection of reminiscences by the author together with brief technical references that touch upon the unparalleled influence of Professor Kalman on this topic. (C) 2018 Elsevier Ltd. All rights reserved.