A sweeping gradient method for ordinary differential equations with events
DOI10.1007/s10957-023-02303-3zbMath1526.49017OpenAlexW4387374883MaRDI QIDQ6086137
Publication date: 9 November 2023
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-023-02303-3
adjointLQRparameter optimizationvariational derivativesweeping methodswitching scheduleordinary differential equations with events
Sensitivity, stability, well-posedness (49K40) Numerical optimization and variational techniques (65K10) Sensitivity, stability, parametric optimization (90C31) Control problems involving ordinary differential equations (34H05) Optimality conditions for problems involving ordinary differential equations (49K15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Direct trajectory optimization and costate estimation of finite-horizon and infinite-horizon optimal control problems using a Radau pseudospectral method
- Optimal control of switching surfaces in hybrid dynamical systems
- Evaluating gradients in optimal control: continuous adjoints versus automatic differentiation
- Discontinuous differential equations. I
- A sparse nonlinear optimization algorithm
- Optimization. Algorithms and consistent approximations
- Event location for ordinary differential equations
- Runge-Kutta methods in optimal control and the transformed adjoint system
- Parametric sensitivity functions for hybrid discrete/continuous systems
- Adjoint sensitivity analysis for differential-algebraic equations: algorithms and software
- A hybrid differential dynamic programming algorithm for constrained optimal control problems. I: Theory
- A hybrid differential dynamic programming algorithm for constrained optimal control problems. II: Application
- Sensitivity analysis of differential-algebraic equations: A comparison of methods on a special problem
- Optimal control of systems with discontinuous differential equations
- Adjoint method in the sensitivity analysis of optimal systems
- The successive sweep method and dynamic programming
- General sensitivity equations of discontinuous systems
- Nonlinear observability via Koopman analysis: characterizing the role of symmetry
- Dirac deltas and discontinuous functions
- Gradient Theory of Optimal Flight Paths
- The Adjoint Method and Its Application to Trajectory Optimization
- Sparse Jacobian updates in the collocation method for optimal control problems
- Survey of Numerical Methods for Trajectory Optimization
- Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
- Direct trajectory optimization using nonlinear programming and collocation
- A Steepest-Ascent Method for Solving Optimum Programming Problems
- Automatic differentiation of numerical integration algorithms
- Using Complex Variables to Estimate Derivatives of Real Functions
- Adjoint Sensitivity Analysis for Differential-Algebraic Equations: The Adjoint DAE System and Its Numerical Solution
- A Computational Architecture for Coupling Heterogeneous Numerical Models and Computing Coupled Derivatives
- Elementary Numerical Analysis
- Direct optimization using collocation based on high-order Gauss-Lobatto quadrature rules
- Optimizing Static Linear Feedback: Gradient Method
- Practical Optimization
- Transition-Time Optimization for Switched-Mode Dynamical Systems
- Consistent Approximations for the Optimal Control of Constrained Switched Systems---Part 1: A Conceptual Algorithm
- Consistent Approximations for the Optimal Control of Constrained Switched Systems---Part 2: An Implementable Algorithm
- A discrete-time differential dynamic programming algorithm with application to optimal orbit transfer
- On the behaviour of optimal linear sampled-data regulators†
- On the First Variation of the Dirichlet-Douglas Integral and on the Method of Gradients
- Variational methods for the solution of problems of equilibrium and vibrations
- An implicit function theorem
This page was built for publication: A sweeping gradient method for ordinary differential equations with events