Weakly Connected Neighborhood Systems

Abstract

The article is devoted to the problem of modeling parallel (simultaneously flowing) and weakly connected production processes in the language of neighborhood structures and neighborhood systems. The notion of neighborhood structures is recalled and the concept of weakly connected neighborhood structures and corresponding weakly connected systems is introduced. The problems of identification and control of such systems are considered. For binary weakly connected systems an algorithm for finding a quasi-optimal mode is proposed. Under additional dimensional constraints, an algorithm for stabilization of two weakly connected systems near a given nominal mode is discussed. As an example of a binary weakly connected system the ventilation-filtration process is considered.