Technical and Mathematical Foundations of Information Systems Dynamics

This paper reviews and summarizes the main process of the close combination of computer and network communication to promote the rapid development of information technology, and discusses the important role of a series of technical achievements in information movement and application. Combined with the newly concerned concept of metaverse, this paper studies the relationship between the real-world, information space and information systems, and puts forward the integrated framework of the real-world and information systems. According to the recent theoretical research and engineering practice, the basic mathematical theories on information model, nature and measures are comprehensively revised and supplemented. Consequently, this paper puts forward eleven types of efficacies of information systems and their distribution across each part over the whole systems following the eleven types of information metrics, and then analyzes eight typical dynamic configurations of information system, which constitutes a basic theoretical system of information system dynamics with universal significance, in order to support the analysis, design, R&D and evaluation. Finally, Smart Court SoSs (System of Systems) Engineering Project of China are introduced as the exemplified application of the theoretical work, which aims at providing a reference for the analysis, design, development and evaluation of large-scale complex information systems.