CDEQ: An Indispensable Assistant for the Chairman of a Football Team/ Football Tactics Management System基于跨领域动态平衡理论《成鼎论》的足球实时战术助手保平拿大分防丢分铁桶阵攻击阵博命阵换人策略

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