  Control was from its very beginning an important concept in cybernetics.
Later on, with the works of W. Ross Ashby, for example, biological concepts
such as adaptation were interpreted in the light of cybernetic systems theory.
Adaptation is the process by which a system is capable of regulating or
controlling itself in order to adapt to changes of its inner and outer
environment maintaining a homeostatic state. In earlier works we have developed
a system metamodel that on the one hand refers to cybernetic concepts such as
structure, operation, and system, and on the other to the philosophy of
individuation of Gilbert Simondon. The result is the so-called allagmatic
method that is capable of creating concrete models of systems such as
artificial neural networks and cellular automata starting from abstract
building blocks. In this paper, we add to our already existing method the
cybernetic concepts of control and especially adaptation. In regard to the
system metamodel, we rely again on philosophical theories, this time the
philosophy of organism of Alfred N. Whitehead. We show how these new
meta-theoretical concepts are described formally and how they are implemented
in program code. We also show what role they play in simple experiments. We
conclude that philosophical abstract concepts help to better understand the
process of creating computer models and their control and adaptation. In the
outlook we discuss how the allagmatic method needs to be extended in order to
cover the field of complex systems and Norbert Wiener's ideas on control.
