An approach to constructing observation systems for the state space of a reacting mixture is proposed. The observation system consists of subsystems of observing oscillators of the self-oscillatory type for the phase subspaces of the system of kinetic equations of the observed groups of substances of the reacting mixture. Geometrically, the approach is based on the scheme of synthesis of limit cycles in the observation phase space. With this approach, the output amplitudes of the observing self-oscillatory processes established in the observation system mean stabilization of the concentrations of the observed reagents in the ranges of their admissible values. Some mathematical aspects of the approach are considered. The results of the article are illustrated by numerical simulation of the dynamics of stabilization of the amount of matter and the phase dynamics of the observation system associated with it.
Gorobtsov et al. (Wed,) studied this question.