Asymptotical Stabilization of Logic Dynamical Systems via Output-based Random Control
IEEE Transactions on Automatic Control(2023)
摘要
This study focuses on the problem of asymptotical stabilization of logic dynamical systems (LDSs) under the situation where the only available measurable information is the real-time output. We propose a novel time-invariant control strategy called output-based random control (OBRC), which breaks through the limitation of time-invariant deterministic output feedback (TIDOF). The TIDOF can be regarded as a special type of the OBRC, but the OBRC is capable of stabilizing some LDSs that cannot be stabilized by any TIDOF. A necessary and sufficient condition for asymptotical stabilizability by the OBRC and a method of finding an optimal OBRC that minimizes a quadratic cost function are proposed. The proposed OBRC was applied to a reduced gene network for the lac operon in the bacterium
Escherichia coli
. The results of numerical computations and time-domain simulations indicate that the OBRC outperforms the TIDOF.
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关键词
logic dynamical system,asymptotical stabilization,output feedback,output-based random control,semi-tensor product of matrices,vector representation of logic
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