Completions of nonlinear DAE flows based on index reduction techniques and their stabilization

DOI10.1016/j.cam.2009.08.111zbMath1180.65100OpenAlexW2085644864MaRDI QIDQ1034656

Peter Kunkel, Stephen L. Campbell

Publication date: 6 November 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.111

zbMATH Keywords

differential-algebraic equationssderivative array equationsleast squares completionnumerical exampletability

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for differential-algebraic equations (65L80)

Related Items (6)

Linear Differential Algebraic Equations and Observers ⋮ Discretization of inherent ODEs and the geometric integration of DAEs with symmetries ⋮ A minimal norm corrected underdetermined Gauß-Newton procedure ⋮ General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example ⋮ DAE Aspects in Vehicle Dynamics and Mobile Robotics ⋮ The Flexibility of DAE Formulations

Uses Software

• GENDA

Cites Work

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• Numerical solution of differential algebraic Riccati equations
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• Uniqueness of completions for linear time varying differential algebraic equations
• Stabilization of DAEs and invariant manifolds
• Constraint preserving integrators for general nonlinear higher index DAEs
• Unitary partitioning in general constraint preserving DAE integrators
• Stabilization of constraints and integrals of motion in dynamical systems
• Mathematical Systems Theory I
• Differential-Algebraic Systems as Differential Equations on Manifolds
• Solvability of General Differential Algebraic Equations
• Recent Advances in Liapunov Stability Theory

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