On the iterative learning control for stochastic impulsive differential equations with randomly varying trial lengths

作者: Shengda Liu , Amar Debbouche , JinRong Wang

DOI: 10.1016/J.CAM.2015.10.028

关键词: Control theoryBernoulli distributionIterative learning controlMathematicsDifferential equationTrajectoryPiecewiseTracking errorGronwall's inequalityConvergence (routing)

摘要: Abstract In this paper, a new class of stochastic impulsive differential equations involving Bernoulli distribution is introduced. For tracking the random discontinuous trajectory, modified error associated with piecewise continuous variable by zero-order holder defined. sequel, ILC scheme adopting global and local iteration average operators designed too. Sufficient conditions to guarantee convergence are obtained using tools mathematical analysis via an Gronwall inequality. Finally, two illustrative examples presented demonstrate performance effectiveness averaging track trajectory.

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