On the discrete generalized Lyapunov equation

DOI10.1016/0005-1098(94)00092-WzbMath0821.93044OpenAlexW1967740487MaRDI QIDQ1891011

Vassilis L. Syrmos, Pradeep Misra, Ravi Aripirala

Publication date: 10 September 1995

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(94)00092-w

zbMATH Keywords

asymptotic stabilityanticipationtime-invariantimplicit systemsdiscrete generalized Lyapunov equation

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Matrix equations and identities (15A24)

Related Items (7)

On Generalised Stein's Inequalites and the Inertias of Their Solutions: Application to Pencil Finite Root-Clustering ⋮ Stability of solutions for nonlinear singular systems with delay ⋮ Weighted steepest descent method for solving matrix equations ⋮ A Lyapunov approach to analysis of discrete singular systems ⋮ Robust admissibility of uncertain switched singular systems ⋮ A new positive real characterization and robust positive real control of descriptor systems ⋮ Stability and inertia theorems for generalized Lyapunov equations

Uses Software

• Matlab

Cites Work

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• The computation of Kronecker's canonical form of a singular pencil
• Fast projection methods for minimal design problems in linear system theory
• A survey of linear singular systems
• A Hessenberg-Schur method for the problem AX + XB= C
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation
• Dynamic equations in descriptor form
• Solution of the Sylvester matrix equation AXB ^T + CXD ^T = E
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Sensitivity of the stable discrete-time Lyapunov equation

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