  We consider inclusion of interactions between the higher derivative extended
Chern-Simons and charged scalar field. We demonstrate that the order $N$
extended Chern-Simons and order $2n$ charged scalar admit the $(N+n)$-parameter
series of interaction vertices. The interactions are in general non-Lagrangian,
but they preserve a certain conserved second-rank tensor, whose parameters are
determined by the coupling. The $00$-component of this tensor can be bounded
even if the canonical energy of the model is unbounded before the inclusion of
interaction. If the $00$-component of conserved tensor is bounded, the theory
is stable.

High Energy Physics - Theory