Function Theory in Several Complex Variables in Relation to Modelling Uncertainty

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Function Theory in Several Complex Variables in Relation to Modelling Uncertainty

 21 - 25 Jul 2014

ICMS, 15 South College Street Edinburgh
  • Jim Agler, University of California
  • Zinaida Lykova, Newcastle University
  • Nicholas Young, Leeds and Newcastle Universities

About:

The workshop brought together pure mathematicians and control engineers with an interest in complex variable methods. The unifying  theme was the use of several complex variables as a tool for representing and analysing the uncertainty of models used in engineering design, particularly in the design of robust automatic controllers. 

Speakers:

  • Joseph Ball, Virginia Polytechnic Institute and State University - Structured Singular Values Versus Diagonal Scaling

  • Alexander Scheinker, Los Alamos National Laboratory - Multiple Time Scale, Discontinuous and Non-Differentiable Extremum Seeking

  • Eric Rogers, University of Southampton - Robustness of Multidimensional Systems for Engineering and Healthcare Applications  

  • Wlodzimierz Zwonek, Jagiellonian University - Geometric Function Theory in the Symmetrised Polydisc and Tetrablock 

  • Pascal Thomas, Université Toulouse III - Lifting Maps to the Spectral Ball  

  • Carsten Scherer, University of Stuttgart - Controller Synthesis with Dynamic Scalings

  • Jaydeb Sarkar, Indian Statistical Institute - Variations on a Theme of Beurling

  • Maria Trybula, Jagiellonian University) - Gromov (Non)Hyperbolicty of Domains in Cn

  • Kelly Bickel, Bucknell University - Schur Functions, Transfer Function Realisations and Boundary Behavior on the Bidisk

  • Paolo Rapisarda, University of Southampton - Quadratic Differential Forms and Lyapunov Stability of 2D Systems 

  • Ryan Tully-Doyle. University of California - Models and Boundary Behavior of Schur Functions on the Bidisc  

  • Jim Agler, University of California - An Operator-Theoretic Perspective on Function Theory

  • Laszlo Lempert, Purdue University - Noncommutative Potential Theory  

  • Peter Pflug, Oldenburg University - Invariant Pseudodistances and Pseudometrics 

  • David Scheinker, MIT - Optimisation of Unknown Systems - Extremum Seeking and Operator Yheory

  • Greg Knese, Washington University - Algebraic and Analytic Structure of Rational Inner Function

  • Line Baribeau, Laval University - A Schwarz Lemma for Algebroid Functions  

  • Keith Glover, University of Cambridge - Bounded Complexity Controllers - Vinnicombe Revisited 

  • Geir Dullerud, University of Illinois - Linear Switched Systems: Verification and Synthesis   

  • J. William Helton, University of California - Free Analysis: Inequalities and Maps 

  • Krysztof Galkowski, Technical University of Zielona Góra - Parameter Dependent Lyapunov Functions for Robust Stability and Stabilisation of Wave Repetitive Processes   

  • Shibananda Biswas, Indian Institute of Science Education and Research - On Curvature Inequality for Contractions in the Cowen-Douglas Class   

  • Subrata Shyam Roy, Indian Institute of Science Education and Research - Functional Models of Gamma_n-contractions   

  • Tirthankar Bhattacharyya, Indian Institute of Science - Two Important Roles of the Fundamental Operator  

  • Amol Sasane, London School of Economics and Political Science - A New V-Metric in Control Theory   

  • Thomas Ransford, Laval University - Projective Hulls and Characterisation of Meromorphic Functions  

  • James Pascoe, University of California - A Wedge of the Edge

  • John McCarthy, Washington University - Non Commutative Function Theory

Sponsors and Funders:

This workshop was generously supported by EPSRC, the School of Mathematics and Statistics at Newcastle University and the London Mathematical Society.