Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

J-energy preserving well-posed linear systems

Olof Staffans — 2001

International Journal of Applied Mathematics and Computer Science

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 systems:...

Well-posed linear systems - a survey with emphasis on conservative systems

George Weiss;  Olof Staffans;  Marius Tucsnak — 2001

International Journal of Applied Mathematics and Computer Science

We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space....

Page 1

Download Results (CSV)