Solís-Perales G, Ayala V, Kliemann W, Femat R
Depto. de Matematicas y Sistemas Computacionales, IPICyT, San Luis Potosi, Mexico Aptdo. Postal 3-05, Tangamanga San Luis Potosi, S.L.P. Mexico 78231.
Chaos. 2003 Jun;13(2):495-501. doi: 10.1063/1.1566511.
Synchronizability of chaotic systems is studied in this contribution. Geometrical tools are used to understand the properties of vector fields in affine systems. The discussion is focused on synchronizability of chaotic systems with equal order. The analysis is based on the synchronous behavior of all states of the master/slave system (complete synchronization). We state sufficient and necessary conditions for complete synchronizability which are based on controllability and observability of nonlinear affine systems. In this sense, the synchronizability is studied for complete synchronization via state feedback control.
本论文研究了混沌系统的同步性。利用几何工具来理解仿射系统中向量场的性质。讨论聚焦于同阶混沌系统的同步性。分析基于主/从系统所有状态的同步行为（完全同步）。我们给出了基于非线性仿射系统的可控性和可观性的完全同步性的充分必要条件。从这个意义上说，通过状态反馈控制研究了完全同步的同步性。
