Exponential stability of nonlinear differential repetitive processes with applications to iterative learning control

DOI10.1016/j.automatica.2017.04.004zbMath1372.93164arXiv1701.05665OpenAlexW2581027780WikidataQ115583312 ScholiaQ115583312MaRDI QIDQ2409260

Berk Altın, Kira Barton

Publication date: 11 October 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05665

zbMATH Keywords

nonlinear systemsLyapunov stabilityiterative methodslearning controlrecursive control algorithms

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Eigenvalue problems (93B60) Linearizations (93B18) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

MIMO ILC using complex-kernel regression and application to precision SEA robots ⋮ Exponential stability of nonlinear differential repetitive processes with applications to iterative learning control ⋮ Robust fuzzy predictive switching control for nonlinear multi-phase batch processes with synchronous vs asynchronous cases ⋮ Robust asynchronous switching predictive control for multi-phase batch processes with time-varying tracking trajectory and delay ⋮ Chattering-free adaptive iterative learning for attitude tracking control of uncertain spacecraft

Cites Work

• Unnamed Item
• Delay-dependent stability of reset systems
• The Lyapunov equation and the problem of stability for linear bounded discrete-time systems in Hilbert space
• Iterative learning control for a class of nonlinear systems
• Exponential stability of nonlinear differential repetitive processes with applications to iterative learning control
• Decoupling and iterative approaches to the control of discrete linear repetitive processes
• Lyapunov-Based Sufficient Conditions for Stability of Hybrid Systems With Memory
• Necessary and Sufficient LMI Conditions for Stability and Performance Analysis of 2-D Mixed Continuous-Discrete-Time Systems
• A survey on iterative learning control for nonlinear systems
• A discrete state-space model for linear image processing
• State-space realization theory of two-dimensional filters
• Doubly-indexed dynamical systems: State-space models and structural properties
• Weakly /^pstable linear operators are power stable
• Nonlinear inversion-based output tracking
• Iterative learning control synthesis based on 2-D system theory
• Lyapunov Theory for 2-D Nonlinear Roesser Models: Application to Asymptotic and Exponential Stability

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