期刊
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
卷 -, 期 -, 页码 -出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2023.3304843
关键词
Boolean networks (BNs); Markov jump parameters (MJPs); mode-dependent pinning control; observability; reachability; semi-tensor product (STP)
This article studies the finite-time observability of switching Boolean networks with Markov jump parameters. By using a parallel extension method, the observability of the considered networks is equivalent to the reachability of the zero vector from an initial set of the newly constructed system. A necessary and sufficient condition based on the extended structure matrix is proposed for finite-time observability. Furthermore, mode-dependent pinning control is introduced and applied for unobservable systems to achieve observability.
Finite-time observability of switching Boolean networks (SBNs) with Markov jump parameters (MJPs) is studied in this article. Via a parallel extension method, the observability of the considered SBN with MJPs is equivalent to that zero vector is reachable from an initial set of the new constructed system. A necessary and sufficient condition based on the extended structure matrix is presented for finite-time observability. Further, for unobservable systems, mode-dependent pinning control is first introduced and applied to achieve the observability. After the set of pinning subsystems is selected, for each pinning subsystem, mode-dependent pinning nodes, output-feedback controls (OFCs), and the adding approaches are designed. An algorithm is provided to find the set of pinning subsystems. Moreover, a necessary condition is given to solve mode-dependent pinning nodes, and the solvability of mode-dependent OFCs and the adding approaches are guaranteed. Finally, a numerical example is presented to show the effectiveness of the obtained results.
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