论文标题
布尔控制网络的自触发时间安排
Self-Triggered Scheduling for Boolean Control Networks
论文作者
论文摘要
已经表明，自触发的控制能够通过正确设置必要时更新系统控制的规则来减少计算负载并处理受限资源的案例。在本文中，首先通过矩阵的半张量和lyapunov理论，首先研究了布尔控制网络（BCN）的自触发稳定（BCN），包括确定性BCN，概率BCN和Markovian Switching BCN。基于两个连续的采样时间之间相应的Lyapunov函数的减小，旨在确定何时应更新控制器的自触发机制。我们表明，可以选择自触发的控制器作为常规控制器而无需采样，也可以根据触发条件为最佳构建。
It has been shown that self-triggered control has the ability to reduce computational loads and deal with the cases with constrained resources by properly setting up the rules for updating the system control when necessary. In this paper, self-triggered stabilization of Boolean control networks (BCNs), including deterministic BCNs, probabilistic BCNs and Markovian switching BCNs, is first investigated via semi-tensor product of matrices and Lyapunov theory of Boolean networks. The self-triggered mechanism with the aim to determine when the controller should be updated is given based on the decrease of the corresponding Lyapunov functions between two successive sampling times. We show that the self-triggered controllers can be chosen as the conventional controllers without sampling, and also can be optimally constructed based on the triggering conditions.
