About the internal mechanisms of dynamical and feedback control systems

A phase-space approach is taken to the description of the internal energetic mechanisms responsible for the functioning of dynamic systems. The phase-space representation leads to differential dynamic equations in the time domain. These parametric forms are closely related to the internal energetic balance of systems and provide their energetic decomposition. Kinetic, potential, and dissipative components are disclosed, together with their relationships to control and output signals. Any control action or free evolution of the systems takes now an energetic significance: it either increases or decreases the energy internally stored within the system. Any change of parameters or the addition of a feedback controller enhances storing or dissipative-absorptive capabilities