Stationary and Ergodic Properties of Stochastic NonLinear Systems Controlled over Communication Channels
Stationary and Ergodic Properties of Stochastic NonLinear Systems Controlled over Communication Channels
复制标题
通信信道控制的随机非线性系统的平稳和遍历特性
DOI：
10.1137/140989686
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
S. Yüksel
中科院分区：
文献类型：
--
作者：
S. Yüksel
本文关注以下问题：给定一个在噪声信道上控制的随机非线性系统，存在编码和控制策略以使闭环系统随机稳定的最大信道类别是什么？考虑的随机稳定性概念是平稳性、遍历性或渐近平均平稳性。我们不限制状态空间是紧凑的，例如所考虑的系统可以由无界噪声驱动。对于一大类系统和通道来说，获得了充要条件。得到了针对一大类非线性系统和信息通道的波德积分公式的推广。这些发现概括了线性系统的现有结果。
This paper is concerned with the following problem: Given a stochastic non-linear system controlled over a noisy channel, what is the largest class of channels for which there exist coding and control policies so that the closed loop system is stochastically stable? Stochastic stability notions considered are stationarity, ergodicity or asymptotic mean stationarity. We do not restrict the state space to be compact, for example systems considered can be driven by unbounded noise. Necessary and sufficient conditions are obtained for a large class of systems and channels. A generalization of Bode's Integral Formula for a large class of non-linear systems and information channels is obtained. The findings generalize existing results for linear systems.