Inertia theorems for the periodic Lyapunov difference equation and periodic Riccati difference equation

DOI10.1016/0024-3795(87)90221-7zbMath0614.39002OpenAlexW2080372641MaRDI QIDQ1820336

Paolo Bolzern, Colaneri, Patrizio

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90221-7

zbMATH Keywords

observabilitymonodromy matrixreconstructibilityinertia theoremsperiodic Riccati difference equationdetectabilitysymmetric periodic solutionpattern of eigenvaluesperiodic Lyapunov difference equationpositive semidefinite periodic solutions

Mathematics Subject Classification ID

Related Items (7)

An algebraic Riccati equation for the discrete-time periodic prediction problem ⋮ Strong solutions of the discrete-time algebraic Riccati equation ⋮ Stabilization of multirate sampled-data linear systems ⋮ Zero-error regulation of discrete-time linear periodic systems ⋮ Analysis and control of a class of uncertain linear periodic discrete-time systems ⋮ Iterative algorithms for discrete periodic Riccati matrix equations ⋮ Model reduction of periodic systems: a lifting approach

Cites Work

• Unnamed Item
• Unnamed Item
• Inertia theorems for the periodic Liapunov equation and periodic Riccati equation
• Stabilizability and detectability of linear periodic systems
• Some theorems on the inertia of general matrices
• Fast projection methods for minimal design problems in linear system theory
• Inertia theorems for matrices, controllability, and linear vibrations
• H-Controllability and Observability of Linear Periodic Systems
• Discrete-time linear periodic systems: gramian and modal criteria for reachability and controllability†
• Lyapunov and Riccati equations: Periodic inertia theorems
• On the structure theory of discrete-time linear systems
• Existence and uniqueness theorems for the algebraic Riccati equation
• Detectability and Stabilizability of Time-Varying Discrete-Time Linear Systems
• On the algebraic Riccati equation
• Application of Hankel matrix to the root location problem
• Matrix quadratic equations
• A Generalization of the Inertia Theorem

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