使用领导—跟随多智能体系统一致性理论,建立了政府干预下的多食品企业实施食品可追溯体系的动力学演化模型。使用离散时间线性系统稳定性理论和代数图理论,得到了在多食品企业中实施政府期望水平食品可追溯体系的稳定性条件。依据线性系统快速收敛性理论,给出了在多食品企业中快速实施政府期望水平食品可追溯体系的最优政府决策方案。针对具体实例,利用Matlab中的线性矩阵不等式工具箱,求得了最优的政府决策方案,数值仿真验证了理论结果的有效性。
Theory on consensus of leader-follower multi-agent systems is used for establishing a dynamically evolving model of multiple food enterprises carrying out the food traceability system subject to government intervention.The stability theory of discrete-time linear systems and algebra graph theory are employed for deriving the stability conditions for multiple food enterprises implementing the food traceability system with a government-expected level.The optimal government decision strategy is obtained for fast implementing the food traceability system with a government-expected level in multiple food enterprises based on fast convergence theory of linear systems.For a given example,the LMI tool in Matlab is used for obtaining the optimal government decision strategy,and numerical simulations are provided to illustrate the effectiveness of theoretical results.