This paper presents a design method of decentralized systems with informational connection. The informational connection in this paper denotes an event link which establishes a signal links among physical controlled plants via a communication network. A dynamic transition of an informational connection among decentralized systems is considered and the mathematical structures are discussed using a concept of eigenvalues and eigen-connections over the Galois field G F(2). The global system has variable-structure characteristics due to the transition of informational connection. Examples of decentralized variable-structure systems are shown. In industry, there are many engineering systems that have a dynamic transition of an informational connection. The mathematical model would be useful for analysis and synthesis of various informationally connected systems.
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