Abstract
In this paper, the minimum observability of Boolean control networks (BCNs) is investigated. An augmented system is proposed to analyze the dynamical trajectories of state pairs, followed by an effective criterion for observability of BCNs utilizing graphic tools. A minimal observability problem is formulated based on the fact that observability of the underlying network is facilitated by injecting new measurements. By introducing an indicator matrix, the solution of added measurements in vector form can be converted into dealing with the equations, by which, all the feasible measurements can be derived. Furthermore, the solution of the least added measurements can be solved by a minimum set covering problem. Meanwhile, two examples are given to illustrate the theoretical results.
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