论文标题
在有限晶格上的控制网络上
On Control Networks Over Finite Lattices
论文作者
论文摘要
通过代数状态空间方法研究了对有限晶格的网络的建模和控制。使用矩阵的半音调产品，我们获得了有限晶格（控制）网络动力学的代数状态空间表示。研究了有关转子和产品晶格的网络的基本属性，该属性显示了晶格结构分析在模型还原和控制网络设计中的应用。然后开发算法是为了从晶格上的网络的结构矩阵中恢复晶格结构，并在有限的设置上构造可比性图，以验证是否在晶格上定义了多价值逻辑网络。最后，提出了数值示例以说明结果。
The modeling and control of networks over finite lattices are studied via the algebraic state space approach. Using the semi-tensor product of matrices, we obtain the algebraic state space representation of the dynamics of (control) networks over finite lattices. Basic properties concerning networks over sublattices and product lattices are investigated, which shows the application of the analysis of lattice structure in the model reduction and control design of networks. Then algorithms are developed to recover the lattice structure from the structural matrix of a network over a lattice, and to construct comparability graphs over a finite set to verify whether a multiple-valued logical network is defined over a lattice. Finally, numerical examples are presented to illustrate the results.
