
doi: 10.1002/rnc.6589
AbstractThe aim of the article is to discuss stochastic fixed‐time (FIXT) stability of impulsive stochastic nonlinear time‐varying systems. By using the multiple Lyapunov method and stochastic analysis theory, several novel stability theorems for determining stochastic FIXT stability are established. Concurrently, the estimation of stochastic settling time is given. Compared with other conclusions about stochastic FIXT stability, the results can be more widely applied to impulsive stochastic nonlinear time‐varying systems, the constraint of the impulse strength factor and the differential operator are also relaxed. Furthermore, some corollaries are obtained to establish stochastic FIXT stability of impulsive stochastic nonlinear time‐varying systems.
impulsive stochastic nonlinear time-varying system, finite-time attractiveness in probability, fixed-time stability, Finite-time stability, Nonlinear systems in control theory, Impulsive control/observation systems, Stochastic stability in control theory, stability in probability, stochastic settling time
impulsive stochastic nonlinear time-varying system, finite-time attractiveness in probability, fixed-time stability, Finite-time stability, Nonlinear systems in control theory, Impulsive control/observation systems, Stochastic stability in control theory, stability in probability, stochastic settling time
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