Control Design of Logical Control Networks
摘要
Control design is one of the most fundamental topics in complex networks such as logical control networks. In the last decades, the control design of logical control networks has been paid increasing attention, including controllability [1], stabilization [2], optimal control [3] and so on. Among the above issues in the study of logical control networks, the solvability of stabilization problem can not only help medical scientists design therapeutic interventions that steer a particular gene regulatory network to a desirable/healthy state, but also reveal how the structure and organization of the system contribute to the stability [4]. Up to now, several effective methods have been established for the design of controllers to achieve the global stabilization of logical control networks, such as reachable set approach [2, 4, 5] and control Lyapunov function approach [6, 7]. Furthermore, in order to reduce the control execution times and save the computation costs, sampled-data control and event-triggered control were developed for logical control networks [8–10]. This chapter aims to introduce the reachable set approach and control Lyapunov function approach for the control design of logical control networks, including traditional feedback controllers, sampled-data controllers and event-triggered controllers.