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The International Symposium on Mathematical Theory of Networks and Systems (MTNS) is a biennial international conference in the general area of mathematical systems theory. The symposium is interdisciplinary and attracts mathematicians, engineers and researchers working in all aspects of systems theory. The symposium is organized every two years and traditionally covers areas involving a wide range of research directions in mathematical systems, networks and control theory. Mathematical methods which play a role in these areas stem from a broad range of fields of pure and applied mathematics, including ordinary and partial differential equations, dynamical systems, complex and functional analysis, numerical analysis, probability theory and stochastic analysis, operator theory, graph theory, linear and commutative algebra, as well as algebraic and differential geometry. There is a wide range of applications ranging from problems in biology, medical sciences, coding and communications, to problems in chemical engineering, circuits, distribution networks, power systems, nanosystems, robotics, and mechatronics.
This volume is devoted to Joseph A. (Joe) Ball’s contributions to operator theory and its applications and in celebration of his seventieth birthday. Joe Ball’s career spans over four and a half decades, starting with his work on model theory and related topics for non-contractions and operators on multiply connected domains. Later on, more applied operator theory themes appeared in his work, involving factorization and interpolation for operator-valued functions, with extensive applications in system and control theory. He has worked on nonlinear control, time-varying systems and, more recently, on multidimensional systems and noncommutative H∞-theory on the unit ball and polydisk, and more general domains, and these are only the main themes in his vast oeuvre. Fourteen research papers constitute the core of this volume, written by mathematicians who have collaborated with Joe or have been influenced by his vast mathematical work. A curriculum vitae, a publications list and a list of Joe Ball’s PhD students are included in this volume, as well as personal reminiscences by colleagues and friends. Contributions by Yu. M. Arlinskii, S. Hassi, M. Augat, J. W. Helton, I. Klep, S. McCullough, S. Balasubramanian, U. Wijesooriya, N. Cohen, Q. Fang, S. Gorai, J. Sarkar, G. J. Groenewald, S. ter Horst, J. Jaftha, A. C. M. Ran, M.A. Kaashoek, F. van Schagen, A. Kheifets, Z. A. Lykova, N. J. Young, A. E. Ajibo, R. T. W. Martin, A. Ramanantoanina, M.-J. Y. Ou, H. J. Woerdeman, A. van der Schaft, A. Tannenbaum, T. T. Georgiou, J. O. Deasy and L. Norton.