Mathematical Methods in Systems, Optimization, and Control

• Preface.- Inroduction (an overview of the contents of the book, from the perspective of Helton's landmark contributions).- Biographical Note and List of Publications of J.W. Helton.- Bounded Analytic Interpolation and H-infinity Control.- Linear Matrix Inequalities and Matrix Convexity.- Optimization and Realization in the Free *-algebra.- Automatic Verification of Matrix Inequalities.- Non-commutative Algebraic Geometry.- Non-Commutative Differential Geometry and Probability.- Modern Trends in Robust Control.- Challenges of Mathematical Biology.- Mathematical Programming and Computer Science.

From the reviews: "A good starting point to learn about Helton's influential work at the edge of Operator theory and systems engineering. ... Many of the main topics in this area are covered by the 19 contributions, all written by the main players in the field. ... brought in the form of a tutorial, a survey, or even a shorter note, but all very readable and up-to-date. ... it can be safely recommended to specialists and to students at an advanced mathematics or engineering level as well." (A. Bultheel, The European Mathematical Society, September, 2012)