Abstract
Finite-state and discrete-event systems are classified into two categories: event-driven and time-driven. In particular, the event-driven types of discrete systems are actually important. There are many those types of systems, e.g., manufacturing systems, industry and welfare robots, computer networks, and so forth. However, the analysis and design of such discrete dynamic systems have not been established, because those systems have severe nonlinear characteristics and do not respond continuously in time. In this paper, the stability of discrete-event dynamic systems are examined using multiple metrics and simultaneous linear inequalities. Numerical examples are shown to clarify the stability and boundedness of periodic discrete-event systems.
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