One-parameter groups of regular quasimultipliers

This paper presents a model reduction technique for infinite-dimensional systems called LQG-balancing. Theoretical results on the existence and uniqueness of LQG-balanced realizations are given as well as error bounds for truncated LQG-balanced realizations. We illustrate the theory by studying model reduction for an Euler-Bernoulli beam.

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Model reduction for controller design for infinite-dimensional systems: theory and an example

Global exponentially bounded convoluted semigroups in Banach spaces are systematically treated with the help of Laplace transform. A perturbation theorem in this context is proved and some characterizations of the introduced class of analytic convoluted semigroups are obtained. Illustrative examples of generators of convoluted semigroups, including differential operators, are presented. (© 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Global convoluted semigroups

This paper establishes automatic extensions for local regularized semigroups and local regularized cosine functions in a certain sense and applies the results to abstract Cauchy problems.

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Automatic extensions of local regularized semigroups and local regularized cosine functions

A class of distribution cosine functions is introduced and systematically analyzed. Connections with (local) integrated cosine functions as well as some characterizations and related examples are given.

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Sheng Wang Wang

Papers

Quasi-Distribution Semigroups and Integrated Semigroups