Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Mixed Control-State Constraints

DOI10.1137/18M1219382zbMath1431.49025OpenAlexW2997651839WikidataQ126418620 ScholiaQ126418620MaRDI QIDQ5208645

Matthias Gerdts, Björn Martens

Publication date: 9 January 2020

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1219382

zbMATH Keywords

convergence analysisoptimal controldifferential-algebraic equationdiscrete approximationsmixed control-state constraints

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items

A computational approach to optimal control problems subject to mixed control-state constraints, Error estimates for Runge-Kutta schemes of optimal control problems with index 1 DAEs, Error Analysis for the Implicit Euler Discretization of Linear-Quadratic Control Problems with Higher Index DAEs and Bang–Bang Solutions, Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Pure State Constraints, A minimum-time obstacle-avoidance path planning algorithm for unmanned aerial vehicles

Uses Software

• RODAS

Cites Work

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