In this paper, the stabilization problem of networked systems with communication constraints is studied, where the random sampling periods, deception attacks and packet losses are considered simultaneously. Different from the existing literature, the actual sampling periods are subject to undesirable physical constraints and fluctuate around an ideal sampling period with certain probability distribution. First, a closed-loop discrete-time stochastic system is constructed by considering the random sampling periods, deception attacks and packet losses in a unified framework. Second, an equivalent yet tractable stochastic model is established with the aid of matrix exponential computation. By reduced-order confluent Vandermonde matrix approach, law of total expectation, convolution formula and Kronecker product operation, a controller is designed such that the exponential stability in the mean-square sense of closed-loop stochastic system is guaranteed. Subsequently, a special model is discussed where no deception attack occurs and then the corresponding controller is designed. Finally, an illustrative example is given to show the effectiveness of the designed approach.

本文研究了具有通信约束的网络系统的镇定问题，同时考虑了随机采样周期、欺骗攻击和丢包。与现有文献不同，实际采样周期受到不良物理约束，并以一定的概率分布围绕理想采样周期波动。首先，通过在统一框架中考虑随机采样周期、欺骗攻击和丢包，构建闭环离散时间随机系统。其次，借助矩阵指数计算建立了一个等效但易于处理的随机模型。通过降阶合流范德蒙矩阵法、总期望定律、卷积公式和克罗内克乘积运算，控制器的设计保证了闭环随机系统均方意义上的指数稳定性。随后，讨论了一种不发生欺骗攻击的特殊模型，然后设计了相应的控制器。最后，给出了一个说明性的例子来说明所设计方法的有效性。