Stability Analysis of Networked Control Systems With Aperiodic Sampling and Time-Varying Delay
研究了网络化控制系统在非周期采样和时变网络时延下的稳定性，通过将闭环系统转化为离散时延系统并利用小增益定理，提出了基于线性矩阵不等式的渐近稳定性判据。
This paper addresses the stability of networked control systems with aperiodic sampling and time-varying network-induced delay. The sampling intervals are assumed to vary within a known interval. The transmission delay is assumed to belong to a given interval. The closed-loop system is first converted to a discrete-time system with multiple time-varying delays and norm-bounded uncertainties resulting from the variation of the sampling intervals. And then, it is transformed into a delay-free system being form of an interconnection of two subsystems. By utilizing scaled small gain theorem, an asymptotic stability criterion for the closed-loop system is proposed in terms of linear matrix inequality. Finally, numerical examples demonstrate the effectiveness of the proposed method and its advantages over existing methods.