This book mainly introduces some recent advances in applications of logical dynamic systems. In particular, we concentrate on the applications in the fields of finite automata, graphs, operational research and Boolean networks. In the area of finite automata, we discuss the dynamical model, the reachability and eontroUability. In the theory of graph, we introduce an algebraic approach to study the structures of graphs, which is applied to solve the multi-track assignment problem in operational research. In the field of Boolean networks, the problems of predictor identification and simplification are fully considered.This book is suitable for professional researchers in the fields of control science and engineering, industrial automation, electrical automation and mechanical engineering, but also can be used as a reference material for relevant scientific and technical engineers.