Algebraic state space theory (ASST) of logical systems, developed based on the semi-tensor
product (STP) which is a new matrix analysis tool built in recent ten years, provides an …

A reflection of our ultimate understanding of a complex system is our ability to control its
behavior. Typically, control has multiple prerequisites: it requires an accurate map of the …

This paper studies chaotic image encryption technology and an application of matrix semi-
tensor product theory, and a Boolean network encryption algorithm for a synchronous …

In this article, we initiate the strong structural controllability of Boolean networks (BNs), in
order to cope with the difficulty of identifying intricate nodal dynamics. The derived …

This article studies structural controllers and distributed pinning controllers for the global
stabilization of Boolean networks (BNs) by integrating the information on their network …

Logical dynamic games (LDGs) are a class of dynamic games that incorporate logical
dynamics to describe the evolution of external states. Such games can be found in a wide …

This study presents a detailed survey on recent development of logical networks and its
applications, including the background of logical networks, the theory of a new matrix …

Consider a networked evolutionary game (NEG). According to its strategy updating rule, a
fundamental evolutionary equation (FEE) for each node is proposed, which is based on …

A new matrix product, called semi-tensor product of matrices, is reviewed. Using it, a matrix
expression of logic is proposed, where a logical variable is expressed as a vector, a logical …

This study addresses the set stability of Boolean networks (BNs) and set stabilization of
Boolean control networks (BCNs). Set stability determines whether a BN converges to a …