Challenges of a generalized system theory : [proceedings of the colloquium, Amsterdam, 9-12 June 1992]
著者
書誌事項
Challenges of a generalized system theory : [proceedings of the colloquium, Amsterdam, 9-12 June 1992]
（Verhandelingen der Koninklijke Nederlandse Akademie van Wetenschappen, Afd. Natuurkunde, Eerste reeks,
North-Holland, 1993
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内容説明・目次
内容説明
During the last five or six years a new general method has been discovered which allows one to transform system theoretical results and techniques into a non-stationary framework that were originally restricted to the analysis of time-variant systems and signals. Mathematically this approach involves complicated transitions from functions defining Toeplitz matrices to operators that appear as input-output maps of time-variant systems, from shifts to weighted shifts, from analytic functions to triangular operators, from Laplace and z-transforms to diagonal transforms and non-stationary evaluation maps. This breakthrough has stimulated various researchers to study and extend classical system theoretical problems in a non-stationary context. In its wake, a host of new results have been derived, many of which are documented in this book. In addition, the book provides comprehensive mathematical treatment of time varying systems, new methods for modelling and model reduction of systems, and applications to robust control. It should be of value to engineering and mathematical departments as well as research institutes.
目次
- Remarks on interpolation for upper triangular operators, H. Dym
- structured matrices and moment problems, T. Constantinescu et al
- the time-varying two-sided Nudelman interpolation problem and its solution, J.A. Ball et al
- higher order time-varying Nevanlinna-Pick interpolation, J. Kos
- a lecture on interpolation and approximation of matrices and operators, P. Dewilde
- computation of the inner-outer factorization for time-varying systems, A.J. ven der Veen
- calculating the anti-causal part of the inverse of a causal, time-varying discrete time system in the framework of sensitivity minimization, M. Verhaegen and P. Dewilde
- robust control and stabilization of linear time-varying systems, A. Feintuch
- robust estimation of time-varying parameters in discrete-time systems, E.W. Kamen
- models for generalized Caratheodory and Nevanlinna functions, P. Bruinsma et al
- on block completion problems for various subclasses of jpq-inner functions, D.Z. Arov et al
- techniques of geometry of Krein spaces in generalized interpolation theory, A. Gheondea
- a recursive algorithm for lossless embedding of non-passive systems, K. Diepold and R. Pauli
- overlapping balanced canonical forms for stable multivariable all-pass systems, B. Hanzon
- orthogonal rational functions on the unit circle and the real line, A. Bultheel et al.
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