SOME NOTES ON DYNAMIC PRINCIPLE FOR ENSEMBLE CONTROL TOOLS
The purpose of these notes is a supplement of our recent findings [1] by theoretical constructions, which are important both for the theory of dynamic ensemble control tools and for derivation of new thermostats and their application. It is shown that the principle is applicable to dynamical systems that go beyond the Hamiltonian systems considered in the cited article. We pay special attention to gradient dynamical systems, for which we have obtained a new promising theoretical result.