Time delays exist widely in real systems, and time-delayed interactions can result in abundant dynamic behaviors and functions in dynamic networks. Inferring the time delays and interactions is challenging due to syst...Time delays exist widely in real systems, and time-delayed interactions can result in abundant dynamic behaviors and functions in dynamic networks. Inferring the time delays and interactions is challenging due to systematic nonlinearity,noises, a lack of information, and so on. Recently, Shi et al. proposed a random state variable resetting method to detect the interactions in a continuous-time dynamic network. By arbitrarily resetting the state variable of a driving node, the equivalent coupling functions of the driving node to any response node in the network can be reconstructed. In this paper,we introduce this method in time-delayed dynamic networks. To infer actual time delays, the nearest neighbor correlation(NNC) function for a given time delay is defined. The significant increments of NNC originate from the delayed effect.Based on the increments, the time delays can be reconstructed and the reconstruction errors depend on the sampling time interval. After time delays are accurately identified, the equivalent coupling functions can also be reconstructed. The numerical results have fully verified the validity of the theoretical analysis.展开更多
This paper studies the problem of robust H∞ output feedback controller via state-reset for linear uncertain discrete-time switched systems. Using multiple Lyapunov functions,we address an output feedback controller u...This paper studies the problem of robust H∞ output feedback controller via state-reset for linear uncertain discrete-time switched systems. Using multiple Lyapunov functions,we address an output feedback controller under arbitrary switching signals,in which an H∞ performance is required. The condition is shown in the form of linear matrix inequalities (LMI). Finally,a numerical example shows the feasibility of the designed controller and illustrates that the new sufficient condition has lower conservation and more optimized H∞ tfperformance.展开更多
预测状态表示(Predictive State Representations,PSRs)是用于解决局部可观测问题的有效方法.然而,现实环境中,通过样本学习得到的PSR模型不可能完全准确.随着计算步数的增多,利用PSR模型计算得到的预测向量有可能越来越偏离其真实值,...预测状态表示(Predictive State Representations,PSRs)是用于解决局部可观测问题的有效方法.然而,现实环境中,通过样本学习得到的PSR模型不可能完全准确.随着计算步数的增多,利用PSR模型计算得到的预测向量有可能越来越偏离其真实值,进而导致PSR模型的预测精度越来越低.文中提出了一种PSR模型的复位算法.通过使用判别分析方法确定系统所处的PSR状态,文中所提算法可对利用计算获取的预测向量复位,从而提高PSR模型的准确性.实验结果表明,采用复位算法的PSR模型在预测精度上明显优于未采用复位算法的PSR模型,验证了所提算法的有效性.展开更多
文摘Time delays exist widely in real systems, and time-delayed interactions can result in abundant dynamic behaviors and functions in dynamic networks. Inferring the time delays and interactions is challenging due to systematic nonlinearity,noises, a lack of information, and so on. Recently, Shi et al. proposed a random state variable resetting method to detect the interactions in a continuous-time dynamic network. By arbitrarily resetting the state variable of a driving node, the equivalent coupling functions of the driving node to any response node in the network can be reconstructed. In this paper,we introduce this method in time-delayed dynamic networks. To infer actual time delays, the nearest neighbor correlation(NNC) function for a given time delay is defined. The significant increments of NNC originate from the delayed effect.Based on the increments, the time delays can be reconstructed and the reconstruction errors depend on the sampling time interval. After time delays are accurately identified, the equivalent coupling functions can also be reconstructed. The numerical results have fully verified the validity of the theoretical analysis.
文摘This paper studies the problem of robust H∞ output feedback controller via state-reset for linear uncertain discrete-time switched systems. Using multiple Lyapunov functions,we address an output feedback controller under arbitrary switching signals,in which an H∞ performance is required. The condition is shown in the form of linear matrix inequalities (LMI). Finally,a numerical example shows the feasibility of the designed controller and illustrates that the new sufficient condition has lower conservation and more optimized H∞ tfperformance.
文摘预测状态表示(Predictive State Representations,PSRs)是用于解决局部可观测问题的有效方法.然而,现实环境中,通过样本学习得到的PSR模型不可能完全准确.随着计算步数的增多,利用PSR模型计算得到的预测向量有可能越来越偏离其真实值,进而导致PSR模型的预测精度越来越低.文中提出了一种PSR模型的复位算法.通过使用判别分析方法确定系统所处的PSR状态,文中所提算法可对利用计算获取的预测向量复位,从而提高PSR模型的准确性.实验结果表明,采用复位算法的PSR模型在预测精度上明显优于未采用复位算法的PSR模型,验证了所提算法的有效性.
