Delayed-feedback control of oscillations in non-linear planar systems
Delayed-feedback control of oscillations in non-linear planar systems
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DOI：
10.1080/00207170110107265
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发表时间：
2002-01
影响因子：
2.1
通讯作者：
F. Atay
中科院分区：
文献类型：
--
作者：
F. Atay
分析了位置延迟反馈在控制振荡行为中的应用。结果表明，线性反馈可以消除极限环，稳定原点。此外，使用简单的非线性反馈可以创建具有任意指定幅度的渐近稳定的极限环。对于几乎所有的延迟值，可以在不使用反馈中的导数信息的情况下实现这些壮举。结果表明，生物系统利用延迟和部分状态信息完成复杂控制任务的可能机制。
The use of delayed feedback of position for the control of oscillatory behaviour is analysed. It is shown that linear feedback can annihilate limit cycles and stabilize the origin. Furthermore, it is possible to create an asymptotically stable limit cycle with any prescribed amplitude using a simple non-linear feedback. For almost all values of the delay, these feats can be achieved without using derivative information in the feedback. The results indicate a possible mechanism by which biological systems accomplish complex control tasks using delayed and partial state information.