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Stability for stochastic reaction-diffusion systems driven by \(G\)-Brownian motion. (English) Zbl 1497.93231

Summary: In this paper, we deal with a class of stochastic reaction-diffusion systems driven by \(G\)-Brownian motion \((G\)-SRDSs, in short). The criterions on quasi-surely exponential stability and finite-time stability for \(G\)-SRDSs are established based on \(G\)-Lyapunov functional method. Examples are given to verify the theoretical results.

MSC:

93E15 Stochastic stability in control theory
93D23 Exponential stability
93C20 Control/observation systems governed by partial differential equations
35K57 Reaction-diffusion equations
60G65 Nonlinear processes (e.g., \(G\)-Brownian motion, \(G\)-Lévy processes)
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