Optimal control of differential-algebraic equations of higher index. I: First-order approximations

DOI10.1007/s10957-007-9205-1zbMath1129.49032OpenAlexW2051636646MaRDI QIDQ2454736

Radosław Pytlak

Publication date: 16 October 2007

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

Full work available at URL: https://doi.org/10.1007/s10957-007-9205-1

zbMATH Keywords

adjoint equationsoptimal control problemsimplicit systemsstate-constrained control problems

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (5)

A Survey on Optimal Control Problems with Differential-Algebraic Equations ⋮ Trajectory sensitivity analysis of hybrid systems with sliding motion ⋮ On solving optimal control problems with higher index differential-algebraic equations ⋮ Optimal control of differential-algebraic equations of higher index. II: Necessary optimality conditions ⋮ Optimal Control of Hybrid Systems with Sliding Modes

Uses Software

• DASPK 3.0

Cites Work

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• Optimal control of differential-algebraic equations of higher index. II: Necessary optimality conditions
• Differential Algebraic Equations, Indices, and Integral Algebraic Equations
• Differential-Algebraic Equation Index Transformations
• Adjoint Sensitivity Analysis for Differential-Algebraic Equations: The Adjoint DAE System and Its Numerical Solution

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