A matrix cross ratio theorem for the Riccati equation

DOI10.1016/0898-1221(93)90030-YzbMath0783.34001MaRDI QIDQ1309750

V. Pereyra

Publication date: 10 March 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

matrix Riccati equationgeneralized cross ratiosingular filteringsingular perturbation expansion with matrix coefficients

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Ordinary differential equations in the complex domain (34M99) Singular perturbations for ordinary differential equations (34E15)

Related Items (3)

Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization ⋮ Upper and lower bounds for the solution of the general matrix Riccati differential equation on a time scale ⋮ A survey of nonsymmetric Riccati equations

Cites Work

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• Singular perturbations and order reduction in control theory - an overview
• Singular filtering problems
• The Riccati equation and its bounds
• The geometry of the riccati equation
• Symplectic Geometry
• Matrix Quadratic Solutions
• Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations
• A Negative Definite Equilibrium and Its Induced Cone of Global Existence for the Riccati Equation
• Identification and modelling of large-scale systems using sensitivity analysis †

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