Local minimum principle for optimal control problems subject to differential-algebraic equations of index two

DOI10.1007/s10957-006-9121-9zbMath1123.49016OpenAlexW1970074368MaRDI QIDQ868570

Matthias Gerdts

Publication date: 6 March 2007

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-006-9121-9

zbMATH Keywords

optimal controlstate constraintsnecessary conditionsindex two differential-algebraic equationslocal minimum principle

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items

A Survey on Optimal Control Problems with Differential-Algebraic Equations, Representation of the Lagrange multipliers for optimal control problems subject to differential-algebraic equations of index two, Virtual control regularization of state constrained linear quadratic optimal control problems, The integer approximation error in mixed-integer optimal control, Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index, A globally convergent semi-smooth Newton method for control-state constrained DAE optimal control problems, A Differential-Algebraic Riccati Equation for Applications in Flow Control, A nonsmooth Newton's method for control-state constrained optimal control problems

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