  The paper is an attempt to generalize a methodology, which is similar to the
bounded-input bounded-output method currently widely used for the system
stability studies. The presented earlier methodology allows decomposition of
input space into bounded subspaces and defining for each subspace its bounding
surface. It also defines a corresponding predefined control, which maps any
point of a bounded input into a desired bounded output subspace. This
methodology was improved by providing a mechanism for the fast defining a
bounded surface. This paper presents enhanced bounded-input
bounded-predefined-control bounded-output approach, which provides adaptability
feature to the control and allows transferring of a controlled system along a
suboptimal trajectory.
