32 research outputs found
Optimal State Feedback Input-Output Stabilization of Infinite-Dimensional Discrete Time-Invariant Linear Systems
Optimal input-output stabilization of infinite-dimensional discrete time-invariant linear systems by output injection
Optimal input-output stabilization of infinite-dimensional discrete time-invariant linear systems by output injection
A representation of all solutions of the control algebraic Riccati equation for infinite-dimensional systems
Well-Posed Linear Systems - a Survey With Emphasis on Conservative 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 give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam