On stability in distribution for a class of hybrid stochastic delay differential equations without the linear growth condition

Key Points

• Stability in distribution is achieved under certain conditions in hybrid stochastic delay differential equations, impacting complex system modeling.
• Key evidence reveals the effectiveness of the proposed framework in ensuring stability without linear growth restrictions across multiple scenarios.
• The approach involves a detailed assessment of dynamical systems governed by hybrid stochastic delay differential equations in various conditions.
• This study highlights potential broad applicability in complex systems, though validation in real-world scenarios is necessary.