Existence and uniqueness of solutions of linear variable coefficient discrete-time descriptor systems

DOI10.1016/J.LAA.2009.02.019zbMath1161.93015OpenAlexW1976939161MaRDI QIDQ1019651

Tobias Brüll

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.02.019

zbMATH Keywords

descriptor systemsstrangeness indexlinear time-varying discrete-time descriptor systemstwo-way canonical form

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Canonical structure (93B10)

Related Items (9)

Solvability and stability of stochastic singular difference equations with constant coefficient matrices of index-ν ⋮ Stability of stochastic singular difference equations with delay ⋮ On stability and Bohl exponent of linear singular systems of difference equations with variable coefficients ⋮ Exponential Stability and Robust Stability for Linear Time-Varying Singular Systems of Second Order Difference Equations ⋮ Index reduction for second order singular systems of difference equations ⋮ Regularity and stability analysis of discrete-time Markov jump linear singular systems ⋮ Bohl-Perron type stability theorems for linear singular difference equations ⋮ Stochastic implicit difference equations of index-1 ⋮ Stability Analysis of Implicit Difference Equations Under Restricted Perturbations

Cites Work

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• Fundamental matrix of discrete singular systems
• Numerical solution of differential algebraic Riccati equations
• The autonomous linear quadratic control problem. Theory and numerical solution
• Time-invariant descriptor systems
• Fundamental, reachability, and observability matrices for discrete descriptor systems
• Nonregular Singular Dynamic Leontief Systems
• Dynamic equations in descriptor form
• Singular Dynamic Leontief Systems
• Periodic descriptor systems: solvability and conditionability
• Lyapunov and Riccati equations of discrete-time descriptor systems

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