Second-Order Systems with Singular Mass Matrix and an Extension of Guyan Reduction

DOI10.1137/S0895479894268269zbMath0857.34003OpenAlexW1989279343MaRDI QIDQ4891705

Sanjay P. Bhat, Dennis S. Bernstein

Publication date: 6 March 1997

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479894268269

zbMATH Keywords

consistent initial conditionslinear differential-algebraic systemsmatrix second order equation

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30) General systems theory (93A99) Linear vibration theory (70J99)

Related Items (10)

Mass matrix templates: general description and 1D examples ⋮ Towards structure-independent stabilization for uncertain underactuated Euler-Lagrange systems ⋮ General exact solutions of the second-order homogeneous algebraic differential equations ⋮ Unnamed Item ⋮ Representations for the group inverse of anti-triangular block operator matrices ⋮ Singular mass matrix and redundant constraints in unilaterally constrained Lagrangian and Hamiltonian systems ⋮ Representations for the Drazin inverse of an anti-triangular block operator matrix E with ind(E) ≤ 2 ⋮ Closed form solution for the equations of motion for constrained linear mechanical systems and generalizations: an algebraic approach ⋮ General exact solutions of certain second-order homogeneous algebraic differential equations ⋮ Mortar FEs on Overlapping Subdomains for Eddy Current Non Destructive Testing

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