arXiv:2509.04129cs.LOcs.AI2025-09被引 2

复杂系统控制策略的简洁性,未必真简单。

Simplicity Lies in the Eye of the Beholder: A Strategic Perspective on Controllers in Reactive Synthesis

  • 从博弈论视角分析控制器策略的复杂性
  • 揭示记忆与随机性对策略性能的影响
  • 适合关注形式化验证与自动化控制的研究者

在反应式合成的博弈论方法中,将待控系统与其环境的交互建模为两方博弈,寻求系统对应的合适(如获胜或最优)策略。该策略可作为真实控制器的形式化蓝图。普遍认为简单策略(如使用有限记忆)更优:此类控制器更易设计理解,且生产维护成本更低。本文聚焦于多种合成场景下策略的复杂性,讨论近期关于记忆与随机性的研究成果,并简要探讨传统复杂性概念之外的新方向。

原文摘要 · Abstract (English)

In the game-theoretic approach to controller synthesis, we model the interaction between a system to be controlled and its environment as a game between these entities, and we seek an appropriate (e.g., winning or optimal) strategy for the system. This strategy then serves as a formal blueprint for a real-world controller. A common belief is that simple (e.g., using limited memory) strategies are better: corresponding controllers are easier to conceive and understand, and cheaper to produce and maintain. This invited contribution focuses on the complexity of strategies in a variety of synthesis contexts. We discuss recent results concerning memory and randomness, and take a brief look at what lies beyond our traditional notions of complexity for strategies.

反应式合成博弈论控制器

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