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Lyapunov‐Based Stability of Mix‐Valued Logical Networks

This paper investigates Lyapunov‐based stability of mix‐valued logical networks. First, we consider the pseudo‐logical function, and give its general logical expression. Second, based on pseudo‐logical functions, we give some definitions on the strict‐Lyapunov function of mix‐valued logical networks and establish a necessary and sufficient condition about the stability. Third, the obtained results are applied to probabilistic logical networks, and a necessary and sufficient condition of globally stability is proposed. Finally, the study of illustrative examples shows that new results presented in this paper work very well.