Rate-Cost Tradeoffs in Continuous-Time Control With a Biomolecular Application

• 成果类型: Article
• 署名作者: Nakahira, Yorie; Xiao, Fangzhou; Kostina, Victoria; Doyle, John C.
• 署名单位: Carnegie Mellon University; Westlake University; California Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3626246
• 发表日期: 2026
• 关键词: RATE-DISTORTION FUNCTION; separation principle; linear-systems; capacity; stabilization; oscillations; LIMITS

摘要

This article focuses on rate-limited control of the generalized Ornstein-Uhlenbeck process where the control action can be either multiplicative or additive, and the noise variance can depend on the control action. We derive a lower bound on the data rate necessary to achieve the desired control cost. The lower bound is attained with equality if the control is performed via an additive white Gaussian channel. The system model approximates the dynamics of a discrete-state molecular birth-death process, and the result has direct implications on the control of a biomolecular system via chemical reactions, where the multiplicative control corresponds to the degradation rate, the additive control corresponds to the production rate, and the control objective is to decrease the fluctuations of the controlled molecular species around their desired concentration levels.