The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
In this work, we introduce and examine the notion of domination for a class of linear distributed systems. This consists in studying the possibility to make a comparison between input or output operators. We give the main algebraic properties of such relations, as well as characterizations of exact and weak domination. We also study the case of actuators, and various situations are examined. Applications and illustrative examples are also given. By duality, we extend this study to observed systems....
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....
We study a class of hyperbolic partial differential equations on a
one dimensional spatial domain with control and observation at the
boundary. Using the idea of feedback we show these systems are
well-posed in the sense of Weiss and Salamon if and only if the
state operator generates a C0-semigroup. Furthermore, we show
that the corresponding transfer function is regular, i.e., has a
limit for s going to infinity.
Currently displaying 1 –
3 of
3