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

DOI10.1016/j.cam.2015.10.028zbMath1351.65005OpenAlexW1938621654MaRDI QIDQ329743

JinRong Wang, Shengda Liu, Amar Debbouche

Publication date: 21 October 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.10.028

zbMATH Keywords

convergencenumerical examplesiterative learning controlBernoulli distributionglobal average operatorlocal average operatorrandom impulsive differential equationsrandomly varying trial length

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations with impulses (34A37) Ordinary differential equations and systems with randomness (34F05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (34)

Doubly-weighted pseudo almost automorphic solutions for stochastic dynamic equations with Stepanov-like coefficients on time scales ⋮ Robust convergence analysis of iterative learning control for impulsive Riemann-Liouville fractional-order systems ⋮ Analysis on PD^α iterative learning control algorithm for fractional differential nonlinear singular systems ⋮ The convergence of iterative learning control for some fractional system ⋮ Convergence characteristics of PD-type and PDD^α-type iterative learning control for impulsive differential systems with unknown initial states ⋮ Iterative learning control for linear delay systems with deterministic and random impulses ⋮ Stability of noninstantaneous impulsive evolution equations ⋮ Impulsive fractional differential equations with Riemann-Liouville derivative and iterative learning control ⋮ Asymptotic properties of the solutions of nonlinear non-instantaneous impulsive differential equations ⋮ Solvability of some two-point fractional boundary value problems under barrier strip conditions ⋮ Robust iterative learning control for linear continuous systems with vector relative degree under varying input trail lengths and random initial state shifts ⋮ Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths ⋮ \(\mathrm{L}^p\)-calculus approach to the random autonomous linear differential equation with discrete delay ⋮ On the orbital Hausdorff dependence of differential equations with non-instantaneous impulses ⋮ Data-driven nonlinear ILC with varying trial lengths ⋮ Synchronization of fractional chaotic systems based on a simple Lyapunov function ⋮ Random non-autonomous second order linear differential equations: mean square analytic solutions and their statistical properties ⋮ Iterative learning control for linear discrete-time systems with randomly variable input trail length ⋮ Probabilistic analysis of a class of impulsive linear random differential equations via density functions ⋮ The convergence analysis of P-type iterative learning control with initial state error for some fractional system ⋮ Convergence analysis for iterative learning control of impulsive linear discrete delay systems ⋮ Fractional order iterative learning control with randomly varying trial lengths ⋮ Iterative learning control for linear discrete delay systems via discrete matrix delayed exponential function approach ⋮ ILC method for solving approximate controllability of fractional differential equations with noninstantaneous impulses ⋮ Optimal control of noninstantaneous impulsive differential equations ⋮ Controllability problem of fractional neutral systems: a survey ⋮ Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay ⋮ Analysis of a class of fractional nonlinear multidelay differential systems ⋮ Iterative learning control of multivariable uncertain nonlinear systems with nonrepetitive trajectory ⋮ Solving fully randomized first-order linear control systems: application to study the dynamics of a damped oscillator with parametric noise under stochastic control ⋮ Random differential equations with discrete delay ⋮ A study on ILC for linear discrete systems with single delay ⋮ Learning ability of iterative learning control system with a randomly varying trial length ⋮ A high-order numerical scheme for the impulsive fractional ordinary differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Iterative learning control with initial state learning for fractional order nonlinear systems
• A class of boundary value problems for first-order impulsive integro-differential equations with deviating arguments
• Iterative learning control of inhomogeneous distributed parameter systems -- frequency domain design and analysis
• Varying-order iterative learning control against perturbed initial conditions
• Real-time iterative learning control. Design and applications.
• Controllability of impulsive neutral stochastic functional differential inclusions with infinite delay
• Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
• Iterative learning control for uncertain systems: robust monotonic convergence analysis
• Adaptive iterative learning control for nonlinear pure-feedback systems with initial state error based on fuzzy approximation
• Iterative learning control. Convergence, robustness and applications
• Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators
• A survey on fractional-order iterative learning control
• A study on iterative learning control for impulsive differential equations
• Exponential stability of the exact solutions and the numerical solutions for a class of linear impulsive delay differential equations
• Iterative learning control. Robustness and monotonic convergence for interval systems.
• Iterative learning control for nonlinear dynamic systems with randomly varying trial lengths
• Fractional-order iterative learning control for fractional-order linear systems
• Pulse compensation for PD-type iterative learning control against initial state shift
• An Iterative Learning Control Approach for Linear Systems With Randomly Varying Trial Lengths
• A survey on iterative learning control for nonlinear systems
• D^α‐Type Iterative Learning Control for Fractional‐Order Linear Time‐Delay Systems
• An average operator-based PD-type iterative learning control for variable initial state error
• Iterative learning control for a class of non‐affine‐in‐input processes in Hilbert space
• Probability

This page was built for publication: On the iterative learning control for stochastic impulsive differential equations with randomly varying trial lengths