On the geometry of symplectic pencils arising from discrete-time matrix equations

DOI10.1016/S0167-6911(02)00129-9zbMath0994.93051MaRDI QIDQ1603725

Nevio Carpanese

Publication date: 15 July 2002

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

algebraic Riccati equationsLagrangian subspacesdeflating subspacessymplectic matrix pencils

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Matrix equations and identities (15A24) Linear-quadratic optimal control problems (49N10) Matrix pencils (15A22)

Cites Work

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• Normal forms of symplectic pencils and the discrete-time algebraic Riccati equation
• Canonical form of symplectic matrix pencils
• Hermitian solutions of the equation \(X=Q+NX^{-1}N^*\)
• Periodic Riccati difference equations: approaching equilibria by implicit systems
• Linear Quadratic Problems with Indefinite Cost for Discrete Time Systems
• On the numerical solution of the discrete-time algebraic Riccati equation
• General matrix pencil techniques for the solution of algebraic Riccati equations: a unified approach

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