Disturbance decoupling of Boolean networks via robust indistinguishability method

Disturbances are ubiquitous and affect the normal operation of systems. This paper investigates the disturbance decoupling problem of Boolean networks (BNs) and Boolean control networks (BCNs) by a robust indistinguishability method. Utilizing a new method based on the reduced state transition matrix, the relationship between three types of disturbance decoupling and robust indistinguishability is revealed, which also builds a link between robust observability and disturbance decoupling. Based on a parameter extraction mapping, several feasible criteria are presented for original and weak disturbance decoupling of BNs and BCNs. Additionally, our approach is more concise and has a lower computational complexity than the existing methods. Finally, two examples are presented to illustrate the effectiveness of the theoretical results.