Dear Colleagues,

As a novel automatic control theory exclusively aiming to improve the stable-state behavior of asynchronous sequential machines (ASMs), corrective control has been extensively studied for the past two decades. Many convincing results have been reported in solving various control problems pertaining to ASMs, such as model matching with respect to a reference model ASM, fault diagnosis and fault-tolerant control, and control of composite ASMs, to name a few. Recently, an interesting branch of corrective control was founded based on semi-tensor products (STPs), which can replace the tedious symbolic computation involved in reachability analysis of ASMs with a more efficient numerical counterpart.

However successful and ripe the development of corrective control may be, there are many promising and opportune topics of corrective control that are waiting for further studies. In terms of theoretical perspectives, the control goal of corrective control can be extended so as to accommodate flexible aspects of the task in which the controlled ASM is involved. The analysis of the controlled ASM can also be broadened by adopting various notions of control engineering, e.g., stability, dead-lock, live-lock, and marked states. In terms of application perspectives, the concept of corrective control may be utilized to resolve control problems in many existent digital systems with asynchrony, in other systems modeled in the field of systems biology, and in real-time systems.

This Special Issue is, therefore, dedicated to “Advances in Corrective Control of Asynchronous Sequential Machines”, intending to collect state-of-the-art contributions on, but not limited to, theory and applications of corrective control, especially welcoming contributions on the analytical development of corrective control using the STPs of matrices, hardware or software implementation of corrective controllers combined with ASMs, and new approaches to fault diagnosis and fault-tolerant corrective control.

Prof. Dr. Jung-Min Yang
Guest Editor

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• asynchronous sequential machines (ASMs)
• corrective control
• composite asynchronous sequential machines
• fault diagnosis and fault-tolerant control
• semi-tensor product (STP)
• application of corrective control
• field-programmable gate array (FPGA)