In today's globalized economic market, the prosperity and stability of each country's economy often involves each country's politics, the import and export of funds, and population ecological dynamics. Preventing and controlling the outbreak of economic crises is a complex problem of cybernetics for nonlinear dynamical systems. Among them, the stabilization of complex nonlinear delayed feedback economic systems is one of the most challenging problems in cybernetics, which is of great theoretical significance to real societies.

Impulse control is one of the important means for financial management to control the economic system, and delayed feedback is one of the common problems in managing such systems. On the other hand, pulse interference and stochastic noise often increase the difficulty of macro-control.

The aim of this Special Issue is to collate original research and review articles with a focus on control and stability analysis of complex dynamical systems. Submissions focused on stabilization control of impulsive time-delay systems or stochastic systems are particularly welcome, as well as the robust stability of complex systems, stochastic systems, and stochastic stabilization of complex nonlinear dynamical systems with impulse perturbations.

Potential topics include but are not limited to the following:

• Stabilization and synchronization for financial and engineering systems
• Stability and boundedness control on open economy system stochastic systems or ecology systems
• Impulse control on open economy, ecology, and engineering systems
• Robust stability analysis of complex chaotic systems with time delays
• Novel stochastic stabilization of complex nonlinear dynamical systems with impulse perturbations
• Stability analysis for stochastic complex systems
• Discrete-time stochastic systems
• Stochastic delayed systems
• Hybrid/Markov jumping systems
• Switching systems