Use of weak noise for real-time control of strong noise suppression in a shielded subdomain

A study was conducted to demonstrate the use of weak noise for real-time control of strong noise suppression in a shielded subdomain. A linear difference problem was considered in real time in a domain consisting of two subdomains. One of these two subdomains contained sources exciting a process. The deviation of the solution from zero in the other subdomain was interpreted as undesired noise. Additional sources were constructed that reduced the noise a given of times. A real-time active noise control was constructed using only information on the control process available near the interface of the subdomains by the current time due to the idea of preserving weak noise in the shielded subdomain.