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Finite-valued network system (FVNS) is a kind of network systems whose state, input and output take values from a finite set. FVNS has wide applications in the research fields such as systems biology, game theory, digital circuits, finite automata, graph theory, fuzzy control, nonlinear feedback shift register, and so on. Recently, an algebraic state space representation (ASSR) approach has been developed for the analysis and control of FVNS, which can convert an FVNS into a linear-like system. The ASSR based investigation of FVNS has attracted many scholars’ research interests in the last decade.

Special focus on analysis and control of finite-valued network systems