Well-Posed State/Signal Systems in Continuous Time

Research paper by Mikael Kurula, Olof J. Staffans

Indexed on: 17 Apr '09Published on: 17 Apr '09Published in: Complex Analysis and Operator Theory


We introduce a new class of linear systems, the Lp-well-posed state/signal systems in continuous time, we establish the foundations of their theory and we develop some tools for their study. The principal feature of a state/signal system is that the external signals of the system are not a priori divided into inputs and outputs. We relate state/signal systems to the better-known class of well-posed input/state/output systems, showing that state/signal systems are more flexible than input/state/output systems but still have enough structure to provide a meaningful theory. We also give some examples which point to possibilities for further study.