Abstract
In the final chapter, the relationship between feedback control systems and finite state systems is described. The event-driven types of discrete systems are particularly important. There are many of those types of systems, e.g., manufacturing systems, industrial robots, and computer networks. However, the analysis and design of these discrete control systems have not been established, because the systems have severe nonlinear characteristics and do not respond continuously in time. In this chapter, the dynamics and stability of finite state and discrete event systems will be clarified. Some authors have attempted to perform stability analyses of finite state and discrete event systems. However, many of them only discuss and define the stability (e.g., asymptotic, exponential, and Lyapunov stability) for specified discrete event systems. Thus, at the end of this chapter, a general description of the stability problem for finite state and discrete event systems will be proposed.
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