Abstract
This paper mainly discusses the exponential stability of neutral stochastic functional differential equations with G-Lévy jump. For a given mean square exponential unstable neutral stochastic differential equations with G-Lévy jump, a discrete-time feedback control in the drift part is designed to realize feedback stability and the H∞ stable càdlàg solution of corresponding systems is obtained. The upper bound of state observation duration of the corresponding systems is derived by extending Mao′s method. Further up, the exponential stabilization conditions are established and some exponential stabilities of the solutions are proved by using the G-Lyapunov functional method. Moreover, an example is presented to verify the obtained results.
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Schedule a callMore From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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