One canonical form for higher-index linear time-varying singular systems

DOI10.1007/BF01599073zbMath0523.93021OpenAlexW2093922684MaRDI QIDQ585142

Stephen L. Campbell

Publication date: 1983

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01599073

zbMATH Keywords

perturbationsingular systemanalytic solutionnumerical solution

Mathematics Subject Classification ID

Related Items (14)

Differential-Algebraic Equations from a Functional-Analytic Viewpoint: A Survey ⋮ A new look at pencils of matrix valued functions ⋮ Difference Methods for the Numerical Solution of Time-Varying Singular Systems of Differential Equations ⋮ A structural form for higher-index semistate equations. I: Theory and applications to circuit and control theory ⋮ A flow-on-manifold formulation of differential-algebraic equations ⋮ Numerical methods for a class of differential algebraic equations ⋮ On the standard canonical form of time-varying linear DAEs ⋮ A new approach for computing the exact solutions of DAEs in generalized Hessenberg forms ⋮ Canonical Forms and Solvable Singular Systems of Differential Equations ⋮ The numerical solution of some higher-index time-varying semistate systems by difference methods ⋮ Stability analysis of singular systems ⋮ Analytical and numerical solutions to higher index linear variable coefficient DAE systems ⋮ Regularizations of linear time varying singular systems ⋮ On stability of time-varying linear differential-algebraic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Consistent initial conditions for singular nonlinear systems
• Decentralized control with overlapping information sets
• Convergence in the boundary layer for singularly perturbed equations
• On the solutions of linear differential equations with singular coefficients
• Bifurcation in the presence of small noise
• Multistep and one-leg methods for implicit mixed differential algebraic systems
• Index Two Linear Time-Varying Singular Systems of Differential Equations
• Generalized decompositions of dynamic systems and vector Lyapunov functions
• Analysis of descriptor systems using numerical algorithms
• Dynamic equations in descriptor form

This page was built for publication: One canonical form for higher-index linear time-varying singular systems