具有随机脉冲的布尔控制网络的集合稳定性研究

Set Stabilization of Boolean Control Networks with Stochastic Impulse

在文章研究的具有随机脉冲的布尔控制网络的集合稳定性问题中,随机脉冲的引入使得模型对实际问题的研究更具真实性.首先,随机脉冲被描述为一组可供选择的具有相应概率的常规模型集合.同时,文章明确集合稳定性问题的目的是将系统中所有节点以概率1到达并稳定到给定节点集合.其次,提出一个判断给定系统的集合稳定性的充要条件.然后,对于可集合稳定系统,给出控制器和脉冲策略的设计方法.最后,通过一个数例说明获得成果的有效性.

In this pa Der,we analyze the set stabilization problem of Boolean con-trol networks with stochastic impulse.The introduction of stochastic impulse model makes the study more realistic.First,stochastic impulse are described as a series of possible models with corresponding probabilities.And the definition of set stabi-lization problem,which is to make all states in the system reach and stabilize to a given set with probability 1,is given.Second,a necessary and sufficient condition is presented to judge whether a given system is set stable.Then,for the set stable system,system controller and states impulse strategies design methods are proposed.Finally,the effectiveness of the obtained results is demonstrated by an example.