关于单调非线性系统可分离收缩度量存在的存在性
On Existence of Separable Contraction Metrics for Monotone Nonlinear Systems
AI总结：
本文研究了单调非线性系统能否通过可分离度量验证其收缩性，并探讨了其在非线性分布式控制设计中的应用。
摘要：
寻找可分离的稳定性证书对于分析大规模网络化系统的方法可行性至关重要。本文考虑了当非线性系统具有收缩性（即所有解都是指数稳定的）时，能否通过可分离度量验证这一性质。利用正线性系统理论和可分离李雅普诺夫函数的最新结果，我们证明了几个新结果，说明何时可能实现这一点，并讨论了通过凸优化应用于非线性分布式控制设计的用法。
英文摘要：
Finding separable certificates of stability is important for tractability of analysis methods for large-scale networked systems. In this paper we consider the question of when a nonlinear system which is contracting, i.e. all solutions are exponentially stable, can have that property verified by a separable metric. Making use of recent results in the theory of positive linear systems and separable Lyapunov functions, we prove several new results showing when this is possible, and discuss the application of to nonlinear distributed control design via convex optimization.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
