Well-Posed State/Signal Systems in Continuous Time

作者：Kurula Mikael^*; Staffans Olof J

来源：Complex Analysis and Operator Theory, 2010, 4(2): 319-390.

DOI：10.1007/s11785-009-0021-5

• Systems theory
• State/signal systems
• Infinite-dimensional systems
• Well-posed systems
• System nodes
• Input/state/output systems

We introduce a newclass of linear systems, the L p-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.

• 出版日期2010-5