多值逻辑网络的输出跟踪牵制控制

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.

Pinning output tracking control of multi-valued logical networks

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.