Dynamical systems are systems that comprise many interacting parts with the ability to generate new collective behavior through self-organization, for example, the spontaneous formation of temporal, spatial, or functional structures. This recognition that the collective behavior of the whole system cannot be simply inferred from the understanding of the behavior of the individual components has led to many new concepts and sophisticated mathematical and modeling tools with applications to many scientific, engineering, and societal issues that can be adequately described only in terms of complexity and complex systems. With the advancement of science and technology, nonlinear problems have appeared in many fields. A conventional linear approach cannot meet the requirements of solving nonlinear problems, therefore, the nonlinear dynamic has been born, which aims to understand complexity science and provide an innovative way to recognize real and complicated systems. Bifurcation and chaos are the two typical complex dynamic behaviors of nonlinear dynamic systems.

Dynamical systems appear in many models across sciences and technology. They can be either discrete or continuous, finite or infinite dimensional, and deterministic or with random terms. For many theoretical results, the related algorithms and implementations for careful simulations and a wide range of applications have been obtained. However, many key questions remain unanswered. They are mainly related either to global aspects of the dynamics or to the lack of a sufficient agreement between qualitative and quantitative results. New analytical techniques and controller design schemes have been used to solve emerging problems in dynamic control systems and networks. In recent years, the study of dynamic systems and networks has faced major changes and challenges with the rapid advancement of IT technology, accompanied by the 4th Industrial Revolution. Many new factors now have to be considered that have not yet been addressed.

The aim of this Special Issue is to attract papers on new advancements in stability and control of dynamical systems. Papers must contain novel theory or design content, and we welcome both original research and review articles.

Potential topics include but are not limited to the following:

• Theoretical application studies on stability that are backed up by simulation results
• Details of modelling physical processes, system simulation, and the use of system identification methods
• New dynamical system design philosophies and formal design procedures
• Control topologies and applications at both regulating and supervisory levels, and the related problems of estimation, fault monitoring, and benchmarking
• Robust stability analysis of complex chaotic systems with time delays
• Stability analysis for stochastic complex systems