Stability Considerations of Discrete Event Dynamic Systems Based on STP and Boolean Networks Concept

Nowadays there are many event-driven types of control systems, e.g., manufacturing systems, industrial and welfare robots, networked control systems (popularly known as IoT), and so forth. In this paper, the security and stability problems of discrete-event dynamic systems are studied based on semi-tensor product (STP) and Boolean networks concept. The permutation and logical matrix expressions of such structural nonlinear systems are introduced. The relation to Perron-Frobenius theory and irreducible
$M$
-matrix is also described. Simple numerical examples are shown to illustrate recurrent dynamic systems.