Stability and stabilization of large-scale distribution-dependent SDEs

DOI10.1142/s0219493724500400MaRDI QIDQ6665574

Yong Ren, Wensheng Yin, Fen-fen Yang

Publication date: 17 January 2025

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

large scaleisolated subsystemsdistribution-dependent SDEssecond-moment exponential stabilitysecond-moment exponential stabilization

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Probability theory and stochastic processes (60-XX)

Cites Work

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• Exponential stability of large-scale stochastic differential equations
• Distribution dependent SDEs for Landau type equations
• McKean-Vlasov SDEs under measure dependent Lyapunov conditions
• Euler-Maruyama approximations for stochastic McKean-Vlasov equations with non-Lipschitz coefficients
• Distribution dependent stochastic differential equations
• Long time behavior of stochastic McKean-Vlasov equations
• Household epidemic models and McKean-Vlasov Poisson driven stochastic differential equations
• Existence, uniqueness and exponential ergodicity under Lyapunov conditions for McKean-Vlasov SDEs with Markovian switching
• Mean-field stochastic differential equations and associated PDEs
• Propagation of chaos in neural fields
• Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
• Probabilistic Analysis of Mean-Field Games
• Decomposition techniques for large-scale systems with nonadditive interactions: Stability and stabilizability
• Almost Sure Exponential Stability of Large-Scale Stochastic Nonlinear Systems
• Exponential stability and stabilizability in mean square of large-scale stochastic systems
• Stability of McKean–Vlasov stochastic differential equations and applications
• Existence and uniqueness theorems for solutions of McKean–Vlasov stochastic equations
• Space-distribution PDEs for path independent additive functionals of McKean–Vlasov SDEs
• On Yosida Approximations of McKean–Vlasov Type Stochastic Evolution Equations
• A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
• Dynamic Programming for Optimal Control of Stochastic McKean--Vlasov Dynamics
• Stability for Stochastic McKean--Vlasov Equations with Non-Lipschitz Coefficients

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