Index of an implicit time-varying linear differential equation: A noncommutative linear algebraic approach

DOI10.1016/0024-3795(93)90285-VzbMath0774.34002OpenAlexW1989288684WikidataQ115364320 ScholiaQ115364320MaRDI QIDQ1801448

Jean Lévine, Michel Fliess, Pierre Rouchon

Publication date: 21 July 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(93)90285-v

zbMATH Keywords

ordinary differential equationindexrelative degreedifferential algebraDAEimplicit linear time varying systemsimplicit systems of differential equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30)

Related Items (5)

An algebraic interpretation of the Laplace transform and of transfer matrices ⋮ Linear Differential Algebraic Equations and Observers ⋮ General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example ⋮ Convergence of singular perturbations in singular linear systems ⋮ Continuous time-varying linear systems

Cites Work

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• Some basic structural properties of generalized linear systems
• Differential equations with polynomial coefficients
• Representation and realization of operational differential equations with time-varying coefficients
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Analysis of descriptor systems using numerical algorithms
• Les déterminants sur un corps non commutatif

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