Physically-based comments to the operating stability for pulse control

The paper considers interesting nuances connected with interpretations of the operating stability for pulse modes. The consideration begins from the small-signal position typical for engineering to estimate the operating limits of a permissible parametric volume. Next, classical and modified bifurcation diagrams are involved to show model-based bifurcation boundaries of the operating process and physically-based thresholds of stability degradation. Next, regularities and uncertainties of the dynamics evolution revealed in the parametrical space are translated into the phase space to establish bilateral phase-parametric relations. Thus a general picture of natural potentialities and unavoidable restrictions of the considered pulse control becomes apparent. Such picture demonstrates variants how it could be possible to avoid some paradoxical conclusions concerning the stability. The presented results seem to be applicable to the control of physical processes in dynamics of systems with variable structures.