论文标题
无限网络的非均匀ISS小型定理
Non-uniform ISS small-gain theorem for infinite networks
论文作者
论文摘要
我们介绍了网络的非均匀输入对国家稳定性的概念。它结合了统一的全局稳定性与任何子网的均匀吸引力，而允许所有组件的不均匀收敛。对于由输入到州稳定子系统组成的无限网络，不一定在瞬态行为上具有统一的KL限制，我们表明：如果增益操作员满足统一的小增益条件，那么整个网络都不均匀地输入状态稳定，并且所有有限的子网络对输入到输入稳定性。
We introduce the concept of non-uniform input-to-state stability for networks. It combines the uniform global stability with the uniform attractivity of any subnetwork, while it allows for non-uniform convergence of all components. For an infinite network consisting of input-to-state stable subsystems, that do not necessarily have a uniform KL-bound on the transient behaviour, we show: If the gain operator satisfies the uniform small-gain condition, then the whole network is non-uniformly input-to-state stable and all its finite subnetworks are input-to-state stable.
