Asymptotical Stabilization of Logic Dynamical Systems via Output-Based Random Control

• 成果类型: Article
• 署名作者: Guo, Yuqian; Wu, Yuhu; Li, Changxi; Gui, Weihua
• 署名单位: Central South University; Dalian University of Technology; Peking University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3321527
• 发表日期: 2024
• 页码: 3286-3293
• 关键词: Asymptotical stabilization; logic dynamical system (LDS); Output feedback; output-based random control (OBRC); semitensor product of matrixes; vector representation of logic

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.