Quotients of Probabilistic Boolean Networks
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Publication:6077201
DOI10.1109/TAC.2022.3144273arXiv2107.14466OpenAlexW4206944693MaRDI QIDQ6077201
Rui Li, Tianguang Chu, Unnamed Author
Publication date: 25 September 2023
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Abstract: A probabilistic Boolean network (PBN) is a discrete-time system composed of a collection of Boolean networks between which the PBN switches in a stochastic manner. This paper focuses on the study of quotients of PBNs. Given a PBN and an equivalence relation on its state set, we consider a probabilistic transition system that is generated by the PBN; the resulting quotient transition system then automatically captures the quotient behavior of this PBN. We therefore describe a method for obtaining a probabilistic Boolean system that generates the transitions of the quotient transition system. Applications of this quotient description are discussed, and it is shown that for PBNs, controller synthesis can be performed easily by first controlling a quotient system and then lifting the control law back to the original network. A biological example is given to show the usefulness of the developed results.
Full work available at URL: https://arxiv.org/abs/2107.14466
optimal controlstabilizationquotientprobabilistic transition systemsprobabilistic Boolean networks (BNs)
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