Event-Triggered Control for Output Regulation of Probabilistic Logical Systems With Delays.

This article investigates the output regulation problem of probabilistic $k$ -valued logical systems with delays by an intermittent control scheme. Two types of event-triggered control are designed via semi-tensor product (STP) of matrices. According to the algebraic state-space representation of probabilistic $k$ -valued systems with delays, the problem is transformed into the existence of solutions of algebraic equations. Then we obtain the sufficient and necessary condition for the output regulation problem of probabilistic $k$ -valued logical systems with delays. Two types of approaches are given to design the event-triggered control laws. Eventually, two exemplifications are provided to explain the effectiveness and utility of the acquired results. [ABSTRACT FROM AUTHOR]