多值逻辑网络的输出跟踪牵制控制
Pinning output tracking control of multi-valued logical networks

本文利用代数状态空间方法, 研究了多值逻辑控制网络的输出跟踪牵制控制. 首先利用矩阵的半张量积给 出了带牵制控制的多值逻辑控制网络的代数表示. 其次基于该代数表示, 定义了一组合适的能达集, 并建立了多值 逻辑控制网络输出跟踪牵制控制器的设计方法. 再次, 利用多值逻辑哑算子的性质, 给出了多值逻辑控制网络分布 式输出跟踪控制问题可解的充要条件. 最后将所得的理论结果应用于网络演化博弈的演化行为分析.
This paper investigates the pinning control for the output tracking of multi-valued logical networks by using the algebraic state space representation method, and presents some new results. First, the dynamics of multi-valued logical networks with pinning control is converted to an algebraic form via the semi-tensor product of matrices. Second, based on the algebraic form, a series of proper reachable sets is defined for multi-valued logical networks, and a constructive procedure is proposed to design pinning output tracking controllers of multi-valued logical networks. Third, using the property of multi-valued dummy operator, a necessary and sufficient condition is presented for the solvability of distributed output tracking control of multi-valued logical networks. Finally, the obtained new results are applied to the evolutionary behavior analysis of networked evolutionary games.