The authors explain in this work a new approach to observing and
controlling linear systems whose inputs and outputs are not fixed
in advance. They cover a class of linear time-invariant
state/signal system that is general enough to include most of the
standard classes of linear time-invariant dynamical systems, but
simple enough that it is easy to understand the fundamental
principles. They begin by explaining the basic theory of
finite-dimensional and bounded systems in a way suitable for
graduate courses in systems theory and control. They then proceed
to the more advanced infinite-dimensional setting, opening up new
ways for researchers to study distributed parameter systems,
including linear port-Hamiltonian systems and boundary triplets.
They include the general non-passive part of the theory in
continuous and discrete time, and provide a short introduction to
the passive situation. Numerous examples from circuit theory are
used to illustrate the theory.
General
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