Fine decouplings of regular differential algebraic equations

DOI10.1007/BF03322870zbMath1064.34002OpenAlexW2090751884MaRDI QIDQ1762641

Roswitha März

Publication date: 11 February 2005

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322870

zbMATH Keywords

regularitydifferential-algebraic equationtractability indexdecouplingprojector

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30)

Related Items

Linear differential-algebraic equations with properly stated leading term: regular points, Optimal Hankel norm model reduction for discrete-time descriptor systems, Linear differential-algebraic equations with properly stated leading term:B-critical points, A simpler construction of the matrix chain defining the tractability index of linear DAEs, Linear differential-algebraic equations with properly stated leading term:A-critical points, Computation of consistent initial values for properly stated index 3 DAEs

Cites Work

• The index of linear differential algebraic equations with properly stated leading terms
• A unified approach to linear differential algebraic equations and their adjoints
• Solvability of linear differential algebraic equations with properly stated leading terms
• Canonical forms for linear differential-algebraic equations with variable coefficients
• Canonical Forms and Solvable Singular Systems of Differential Equations
• A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations