CAJ | 학술논문

提出了两种复杂网络自适应同步策略，其自适应因子分别是1维和n维函数，自适应更新率依赖于相邻结点的输出和局部误差．当动力系统函数的雅可比矩阵的范数有界时，自适应同步策略局部渐近同步．利用李雅普诺夫定理分别证明了两种策略同步解局部渐近稳定性，最后，在100个结点的无标度网络上，分别给出了自适应率为1维和n．维函数时的数值仿真实例，展示了同步误差的变化趋势，也验证了具有n维自适应函数控制策略的优势．
제출료량충복잡망락자괄응동보책략，기자괄응인자분별시1유화n유함수，자괄응경신솔의뢰우상린결점적수출화국부오차．당동력계통함수적아가비구진적범수유계시，자괄응동보책략국부점근동보．이용리아보낙부정리분별증명료량충책략동보해국부점근은정성，최후，재100개결점적무표도망락상，분별급출료자괄응솔위1유화n．유함수시적수치방진실례，전시료동보오차적변화추세，야험증료구유n유자괄응함수공제책략적우세．
In this paper; we present two novel adaptive synchronization strategies ot complex aynamical networks, whose the adaptive gains are one-dimensional function and n-dimensional function at the network nodes respectively. Time-varying adaptive gains are dependent on the output of neighboring nodes and the local synchronization error at each vertex in the network. When the norm of dynamical system Jacobian is bounded, two the adaptive strategies can synchronize asymptotically. The asymptotic stability of the synchronization is proven for two strategies by using Lyapunov-based techniques. Two numerical simulations show the effectiveness of two adaptive strategies of a free-scale complex network with 100 nodes.