| Abstract: |
This paper is a first attempt to introduce the behavioral approach into dynamical
systems define on a time scale. The notion of kernel behavior on a time scale as the kernel
of a delta differential matrix operator is introduced. Basic properties, as surjectivity and
injectivity, of this operator are studied. A characterization of equivalent kernel representations
is given. Additionally, the question whether a behavior that admits a representation with
auxiliary variables is also a kernel behavior is analyzed. |
