Abstract Football is a complex system of dynamic balance. This paper presents CDEQ (Cyber-Dynamic-Equilibrium-Control Framework) as a unified theoretical foundation for dynamic equilibrium in football tactical decision-making. The framework is constructed by three original and independent theorems: PCTT (Penta-Cyclic Topological Theorem), CENHE-LEX (Central-Holding Nonary-Constraint Execution Theorem), and GCVT (Global Convergence Validation Theorem). CDEQ models a football team as a dynamically balanced system under continuous perturbation: - PCTT describes the chaotic and structured evolution of system states; - CENHE-LEX maintains structural stability through a 3×3 constraint grid derived from the Luoshu magic square; - GCVT provides the convergence criterion for steady-state identification. This paper only presents the theoretical and mathematical foundations of CDEQ. All domain-specific mappings, application parameters, decision thresholds, and implementation details are proprietary and not disclosed in this public edition. KEY PAPER (Full Theory & Proofs): A Flower's Smile, V-Functions Arise: Answering Lyapunov's Centennial Question DOI: 10.5281/zenodo.18927653 For the complete mathematical foundation, rigorous derivations, and general solution to Lyapunov's century-old problem — see the key paper above. Author: Jiang Wenjia (Shenzhen, China) ORCID: 0009-0000-3850-7286 Correspondence: jiangwenjiaszx@outlook.com