The convergence of iterative learning control for some fractional system
From MaRDI portal
Publication:1631044
DOI10.1186/s13662-017-1177-3zbMath1422.93086OpenAlexW2612975093WikidataQ59525687 ScholiaQ59525687MaRDI QIDQ1631044
Xianghu Liu, Yan-Fang Li, Yan-Min Liu
Publication date: 5 December 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-017-1177-3
Mittag-Leffler functionconvergenceiterative learning controlCaputo fractional derivativeGronwall ineqalityP-type
Learning and adaptive systems in artificial intelligence (68T05) Nonlinear systems in control theory (93C10) Adaptive control/observation systems (93C40) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
- Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
- Fractional order nonlinear systems with delay in iterative learning control
- A survey on impulsive fractional differential equations
- On the iterative learning control for stochastic impulsive differential equations with randomly varying trial lengths
- Finite time stability of fractional delay differential equations
- On recent developments in the theory of boundary value problems for impulsive fractional differential equations
- The controllability of fractional control systems with control delay
- Iterative learning control with initial state learning for fractional order nonlinear systems
- Nonlinear impulsive problems for fractional differential equations and Ulam stability
- Ulam's type stability of impulsive ordinary differential equations
- A class of fractional evolution equations and optimal controls
- Analysis of nonlinear fractional control systems in Banach spaces
- Nonlocal problems for fractional integrodifferential equations via fractional operators and optimal controls
- Existence and controllability results for fractional semilinear differential inclusions
- Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions
- Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique
- On the concept of general solution for impulsive differential equations of fractional-order \(q\in(1, 2)\)
- On recent developments in the theory of abstract differential equations with fractional derivatives
- Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay
- Existence of mild solutions for fractional neutral evolution equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Iterative learning control for uncertain systems: robust monotonic convergence analysis
- Linear and nonlinear iterative learning control
- Center stable manifold for planar fractional damped equations
- Iterative learning control. Convergence, robustness and applications
- On the new concept of solutions and existence results for impulsive fractional evolution equations
- Existence and exponential stability for neutral stochastic integrodifferential equations with impulses driven by a fractional Brownian motion
- On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives
- On the solvability and optimal controls of fractional integrodifferential evolution systems with infinite delay
- Fractional-order iterative learning control for fractional-order linear systems
- A survey on iterative learning control for nonlinear systems
- On the iterative learning control of fractional impulsive evolution equations in Banach spaces
- Iterative learning control based on a noninstantaneous impulsive fractional-order system
