论文标题
通过大小间歇性控制和量化控制的延迟系统的自适应有限时间稳定性
Adaptive Finite Time Stability of Delayed Systems via Aperiodically Intermittent Control and Quantized Control
论文作者
论文摘要
在此简介中，我们为动态系统设置了有限的时间稳定性（FNTSTA）理论，该系统具有有界的时间变化延迟，该理论是通过a periodical上间隔控制（AIC）和量化控制（QC）的。在此简介中设计了更一般的质量控制。时间变化延迟的界限必须小于AIC中的量。使用两个范围的方法（下午2点）来解决延迟系统的FNTSTA，即，将整个证明过程分为两个阶段，一个阶段是，系统误差规范的过程从初始值开始，而另一个阶段是从$ 1 $ 0 $ 0 $ 0 $ $ 0 $ $ 0 $ $ $ $ $ $ $ 1 $ $ 1 $。通过证明这两个阶段都使用FNT实现，可以证明整个系统的FNTSTA。我们还设计自适应规则并严格证明其有效性。此外，获得的理论用于讨论神经网络的有限时间同步（FNTSYN）作为应用。最后，进行了一些模拟来说明我们理论结果的有效性。
In this brief, we set up the finite time stability (FnTSta) theory for dynamical systems with bounded time-varying delays via aperiodically intermittent control (AIC) and quantized control (QC). A more general QC is designed in this brief. The bound of time-varying delay is required to be less than the infimum in AIC. Two-phases-method (2PM) is applied to solve the FnTSta for delayed system, i.e., it divides the whole proof process into two phases, one phase is that the process for the norm of system error evolving from initial values to $1$, and the other is the process for the norm of system error evolving from $1$ to $0$. By proving that these two phases both use FnT to realize, the whole FnTSta for system is proved. We also design the adaptive rules and prove its validity rigorously. Furthermore, the obtained theories are used to discuss the finite time synchronization (FnTSyn) of neural networks as an application. Finally, some simulations are given to illustrate the effectiveness of our theoretical results.
