Abstract
A switched Boolean network (SBN) is an important model for describing hybrid phenomena in gene regulatory networks, and it has received increasing attention since the development of the semi-tensor product of matrices. This paper aims to present a comprehensive survey on SBNs. First, the fundamental issues for SBNs with arbitrary switching signals are reviewed, including stability, stabilisation, controllability, observability, optimal control, and synchronisation. Next, a brief review of the stability analysis of SBNs with constrained switching, consisting of time-dependent switching, state-dependent switching, and logical switching, is given. In addition, some basic results on the SBNs under non-ideal conditions are also introduced comprehensively.
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