论文标题
小增长定理，用于稳定性，合作控制和分布式无限网络的观察
Small-gain theorem for stability, cooperative control and distributed observation of infinite networks
论文作者
论文摘要
由向超连接世界的范式转移的范式，我们为无限多个系统的网络开发了一个可计算障碍的小增生定理，称为无限网络。拟议的小生命定理针对封闭组解决了指数的输入到国家稳定性，这使我们能够以统一的方式分析各种稳定性问题。可以通过有效地计算出大量系统的增益运算符的光谱半径，以收集有关内部Lyapunov增益的所有信息的频谱半径表示。为了证明我们的小生命定理的广泛适用性，我们将其应用于无限时变网络的稳定性分析，以在无限代理系统中的共识以及无限网络的分布式观察者的设计。
Motivated by a paradigm shift towards a hyper-connected world, we develop a computationally tractable small-gain theorem for a network of infinitely many systems, termed as infinite networks. The proposed small-gain theorem addresses exponential input-to-state stability with respect to closed sets, which enables us to analyze diverse stability problems in a unified manner. The small-gain condition, expressed in terms of the spectral radius of a gain operator collecting all the information about the internal Lyapunov gains, can be numerically computed for a large class of systems in an efficient way. To demonstrate broad applicability of our small-gain theorem, we apply it to the stability analysis of infinite time-varying networks, to consensus in infinite-agent systems, as well as to the design of distributed observers for infinite networks.
