Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths
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Wanzheng Qiu
and
Dong Shen
Abstract
In this paper, we introduce a new kind of conformable stochastic impulsive differential systems (CSIDS) involving discrete distribution of Bernoulli. For random discontinuous trajectories, we modify the tracking error of piecewise continuous variables by a zero-order holder. First, the improved P-type and PD α -type learning laws of the random iterative learning control (ILC) scheme are designed through global and local averaging operators. Next, we establish sufficient conditions for convergence of the tracking error in the expectation sense and prove the main results by using the impulsive Gronwall inequality and mathematical analysis tools. Finally, the theoretical results are verified by two numerical examples, and the tracking performance is compared for different conformable order of α.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12161015
Funding source: Guizhou Data Driven Modeling Learning and Optimization Innovation Team
Award Identifier / Grant number: [2020]5016
Funding source: Super Computing Algorithm and Application Laboratory of Guizhou University and Gui’an Scientific Innovation Company
Award Identifier / Grant number: K22-0116-003
Funding source: Major Project of Guizhou Postgraduate Education and Teaching Reform
Award Identifier / Grant number: YJSJGKT[2021]041
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: This work is partially supported by the National Natural Science Foundation of China (grant numbers 12161015; 62173333), Super Computing Algorithm and Application Laboratory of Guizhou University and Gui’an Scientific Innovation Company (K22-0116-003), Major Project of Guizhou Postgraduate Education and Teaching Reform (YJSJGKT[2021]041), the Slovak Research and Development Agency under the contract No. APVV-18-0308, and the Slovak Grant Agency VEGA No. 1/0358/20 and No. 2/0127/20.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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- Numerical simulations of wave propagation in a stochastic partial differential equation model for tumor–immune interactions
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- Numerical modeling of the dam-break flood over natural rivers on movable beds
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- Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay
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- Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths
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Articles in the same Issue
- Frontmatter
- Original Research Article
- Hybrid solitary wave solutions of the Camassa–Holm equation
- Numerical simulations of wave propagation in a stochastic partial differential equation model for tumor–immune interactions
- A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley–Torvik differential equation
- Higher order codimension bifurcations in a discrete-time toxic-phytoplankton–zooplankton model with Allee effect
- Numerical modeling of the dam-break flood over natural rivers on movable beds
- A class of piecewise fractional functional differential equations with impulsive
- Lie symmetry analysis for two-phase flow with mass transfer
- Asymptotic behavior for stochastic plate equations with memory in unbounded domains
- Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay
- A linearized finite difference scheme for time–space fractional nonlinear diffusion-wave equations with initial singularity
- Ground state solutions of Schrödinger system with fractional p-Laplacian
- Bifurcation analysis of a new stochastic traffic flow model
- An uncertainty measure based on Pearson correlation as well as a multiscale generalized Shannon-based entropy with financial market applications
- Hilfer fractional stochastic evolution equations on infinite interval
- Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths
- Chebyshev wavelet-Picard technique for solving fractional nonlinear differential equations
- Theoretical assessment of the impact of awareness programs on cholera transmission dynamic
- Theoretical and numerical analysis of a prey–predator model (3-species) in the frame of generalized Mittag-Leffler law
- Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2
- Shehu transform on time-fractional Schrödinger equations – an analytical approach
- A (2 + 1)-dimensional variable-coefficients extension of the Date–Jimbo–Kashiwara–Miwa equation: Lie symmetry analysis, optimal system and exact solutions
- Mathematical model of fluid flow in a double constricted tapered tube with permeable boundary
