Controlling Ideal Turbulence in Time-Delayed Chua's Circuit: Stabilization and Synchronization
Controlling Ideal Turbulence in Time-Delayed Chua's Circuit: Stabilization and Synchronization
复制标题
DOI：
10.1142/s0218127410026526
复制
发表时间：
2010-05
期刊：
影响因子：
--
通讯作者：
Masayasu Suzuki;N. Sakamoto
中科院分区：
文献类型：
--
作者：
Masayasu Suzuki;N. Sakamoto
我们尝试稳定由具有非线性边界条件的波动方程描述的物理模型的稳定解。该系统是一个分布式参数系统，其中发生由 Sharkovsky 等人引入的理想湍流。尽管系统的行为在时间和空间上都相当复杂，但通过使用达朗贝尔解，可以将动态特性的分析简化为有限维差分方程的分析。在本报告中，基于使用达朗贝尔解的分析方法，我们设计了控制律来稳定稳态解（平衡解和周期解）并同步一对相同的系统。
We try to stabilize steady solutions of a physical model described by wave equations with nonlinear boundary conditions. This system is a distributed parameter system in which ideal turbulence, introduced by Sharkovsky et al., occurs. Although the behavior of the system is quite intricate both in time and space, by using d'Alembert's solution, the analysis of the dynamic characteristics can be reduced to that of a finite-dimensional difference equation. In this report, based on this analytical method using d'Alembert's solution, we design control laws to stabilize steady solutions (equilibrium solutions and periodic solutions) and synchronize a pair of identical systems.