Efficient delay and parameter estimation for nonlinear systems based on lifted IRK integrators with inexact Jacobians

DOI10.3934/jimo.2023095OpenAlexW4385060128MaRDI QIDQ6065190

Jianhui Liu, Zhao Wu Ping, Ming Yu, Canghua Jiang

Publication date: 11 December 2023

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2023095

zbMATH Keywords

time delayparameter estimationnonlinear systemsdynamic optimizationNewton-type methods

Mathematics Subject Classification ID

Numerical methods based on nonlinear programming (49M37) Control/observation systems governed by functional-differential equations (93C23) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

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• Parameter estimation for nonlinear time-delay systems with noisy output measurements
• Differentiability with respect to delays
• Time-delay systems: an overview of some recent advances and open problems.
• Lifted collocation integrators for direct optimal control in ACADO toolkit
• An exact penalty method for free terminal time optimal control problem with continuous inequality constraints
• Iterative schemes for three-stage implicit Runge-Kutta methods
• Stiff differential equations solved by Radau methods
• Direct optimal control for time-delay systems via a lifted multiple shooting algorithm
• An efficient adjoint computational method based on lifted IRK integrator and exact penalty function for optimal control problems involving continuous inequality constraints
• Numerical computation of derivatives in systems of delay differential equations
• Robust parameter estimation for nonlinear multistage time-delay systems with noisy measurement data
• A sequential computational approach to optimal control problems for differential-algebraic systems based on efficient implicit Runge-Kutta integration
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Symplectic Runge--Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More
• Newton Methods for Nonlinear Problems
• Controlling biological networks by time-delayed signals
• Inexact Newton-Type Optimization with Iterated Sensitivities
• Nonlinear Programming
• Applied and Computational Optimal Control
• Implementation of high-order implicit Runge-Kutta methods

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