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Stabilization of Delayed Boolean Control Networks With State Constraints: A Barrier Lyapunov Function Method

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The stabilization for delayed Boolean control networks (DBCNs) with state constraints is studied. The definition of barrier Lyapunov function (BLF) is put forward for DBCNs with state constraints. The stabilization… Click to show full abstract

The stabilization for delayed Boolean control networks (DBCNs) with state constraints is studied. The definition of barrier Lyapunov function (BLF) is put forward for DBCNs with state constraints. The stabilization of DBCNs with state constraints is proved to equal the existence of BLF. Furthermore, the delayed state feedback gain can be constructed via BLF. Finally, the obtained results are verified by networked evolutionary games with memories.

Keywords: delayed boolean; boolean control; state; stabilization delayed; state constraints

Journal Title: IEEE Transactions on Circuits and Systems II: Express Briefs
Year Published: 2021

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