Controllability of nonlinear impulsive fractional damped stochastic systems with distributed delay and Lévy noise

Key Points

• Nonlinear impulsive systems exhibit unique behavior under stochastic processes, which impacts controllability.
• The use of fractional calculus allows for better modeling of systems influenced by distributed delay and Lévy noise.
• This analysis provides insights into managing complex systems with unpredictability and varying time delays.
• Applications of this approach may lead to enhanced control mechanisms for advanced engineering designs.