Adjoint pairs of differential-algebraic equations and Hamiltonian systems

DOI10.1016/j.apnum.2004.08.015zbMath1081.34004OpenAlexW2066977053MaRDI QIDQ1772790

Katalin Balla, Vu Hoang Linh

Publication date: 21 April 2005

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.08.015

zbMATH Keywords

adjoint equationslinear differential-algebraic equationsselfadjoint boundary value problems

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

New answers to an old question in the theory of differential-algebraic equations: essential underlying ODE versus inherent ODE ⋮ Adjoint pairs of differential-algebraic equations and their Lyapunov exponents ⋮ Subadjoint equations of index-1 linear singular difference equations ⋮ \(QR\) methods and error analysis for computing Lyapunov and Sacker--Sell spectral intervals for linear differential-algebraic equations ⋮ Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index ⋮ Self-adjoint differential-algebraic equations ⋮ A Differential-Algebraic Riccati Equation for Applications in Flow Control ⋮ Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations ⋮ Adjoint discrete systems with properly stated leading terms

Cites Work

• Index criteria for differential algebraic equations arising from linear-quadratic optimal control problems
• A unified approach to linear differential algebraic equations and their adjoints
• Adjoint sensitivity analysis for differential-algebraic equations: algorithms and software
• Stability preserving integration of index-1 DAEs.
• Stability preserving integration of index-2 DAEs.
• Adjoint Sensitivity Analysis for Differential-Algebraic Equations: The Adjoint DAE System and Its Numerical Solution
• On Linear-Quadratic Optimal Control Problems for Time-Varying Descriptor Systems
• The existence of a continuous basis of a certain linear subspace of $E\sb{r}$ which depends on a parameter
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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