Displaying similar documents to “Well-posed linear systems - a survey with emphasis on conservative systems”

J-energy preserving well-posed linear systems

Olof Staffans (2001)

International Journal of Applied Mathematics and Computer Science

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The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces. The class of well-posed linear systems contains most linear time-independent distributed parameter...

Circle criterion and boundary control systems in factor form: input-output approach

Piotr Grabowski, Frank Callier (2001)

International Journal of Applied Mathematics and Computer Science

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A circle criterion is obtained for a SISO Lur’e feedback control system consist- ing of a nonlinear static sector-type controller and a linear boundary control system in factor form on an infinite-dimensional Hilbert state space H previ- ously introduced by the authors (Grabowski and Callier, 1999). It is assumed for the latter that (a) the observation functional is infinite-time admissible, (b) the factor control vector satisfies a compatibility condition, and (c) the trans- fer function...