State Maps from Integration by Parts

@article{Schaft2011StateMF,
  title={State Maps from Integration by Parts},
  author={Arjan van der Schaft and Paolo Rapisarda},
  journal={SIAM J. Control and Optimization},
  year={2011},
  volume={49},
  pages={2415-2439}
}
A fundamental concept in mathematical systems theory concerns the notion of state. Roughly speaking, the state of a system at a particular time instant is all one needs to know about the past to characterize the future behavior. In this talk we revisit the following classical question: given a set of linear higher-order differential equations in the external variables (i.e., inputs and outputs), how can we construct a linear mapping from the external variables and their time-derivatives to a… CONTINUE READING
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