作者：Min, Huifang; Shi, Shang; Xu, Shengyuan; Guo, Jian; Zhang, Zhengqiang
作者单位：Nanjing University of Science & Technology; Hohai University; Qufu Normal University
摘要：This study investigates the fixed-time stability of stochastic nonlinear systems described by Ito differential equations. The improved fixed-time Lyapunov theorem is given and an important corollary is obtained. It is proved that the upper-bound estimate of the settling time is less conservative. We establish a new definition of practically fixed-time stability in probability and propose the corresponding Lyapunov criterion theorem. In addition, different cases of the parameters are discussed ...
作者：Su, Yifan; Wang, Zhaojian; Cao, Ming; Jia, Mengshuo; Liu, Feng
作者单位：Tsinghua University; Shanghai Jiao Tong University; University of Groningen; Swiss Federal Institutes of Technology Domain; ETH Zurich
摘要：Dual decomposition is widely utilized in the distributed optimization of multiagent systems. In practice, the dual decomposition algorithm is desired to admit an asynchronous implementation due to imperfect communication, such as time delay and packet drop. In addition, computational errors also exist when the individual agents solve their own subproblems. In this article, we analyze the convergence of the dual decomposition algorithm in the distributed optimization when both the communication...
