Stabilizing feedback design for time delayed polynomial systems using kinetic realizations

A new stabilizing feedback design method is proposed in this paper for time delayed polynomial systems with a linear input structure. The task to transform the open loop system complex balanced kinetic by using state structure which guarantees stability arbitrary delays. It shown that required computations can be performed simple programming, when only goal semistability of chosen equilibrium point. If one wants achieve additionally uniqueness closed point ensure local asymptotic stability, then extended optimization problem requires application semidefinite programming. existence solution and computability do not depend on magnitude involving additional monomials into beyond ones contained open-loop model does improve solvability semistabilization problem, but it may prescribed Thus, two variants systematic are find appropriate extra feedback. One these solve programming even case.