Index Two Linear Time-Varying Singular Systems of Differential Equations

DOI10.1137/0604026zbMath0521.34004OpenAlexW2078936228MaRDI QIDQ3671500

Stephen L. Campbell

Publication date: 1983

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0604026

zbMATH Keywords

singular matricesdescriptor systemanalytic methodgeneral linear time varying singular systems

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear systems in control theory (93C05) Linear ordinary differential equations and systems (34A30) General theory for ordinary differential equations (34A99)

Related Items (11)

Index two linear time varying singular systems of differential equations ⋮ Difference Methods for the Numerical Solution of Time-Varying Singular Systems of Differential Equations ⋮ Index-2 differential-algebraic equations ⋮ On boundary value problems in differential-algebraic equations ⋮ Canonical Forms and Solvable Singular Systems of Differential Equations ⋮ The numerical solution of some higher-index time-varying semistate systems by difference methods ⋮ On nilpotent singular systems ⋮ One canonical form for higher-index linear time-varying singular systems ⋮ Analytical and numerical solutions to higher index linear variable coefficient DAE systems ⋮ Regularizations of linear time varying singular systems ⋮ Finite difference methods for time dependent, linear differential algebraic equations

Cites Work

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• Order and the index of singular time-invariant linear systems
• Nonregular Singular Dynamic Leontief Systems
• Analytical and Numerical Methods for Nonlinear Singular Singularly-Perturbed Initial Value Problems
• A second order singular linear system arising in electric power systems analysis†
• Differentiation of the Drazin Inverse
• Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients
• Optimal Control of Autonomous Linear Processes with Singular Matrices in the Quadratic Cost Functional
• On singular singularly-perturbed initial value problems
• Some properties of non-canonic systems of linear integro-differential equations

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