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Reproducing kernels and Riccati equations.
2001Summary: The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite-dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix-valued functions that are \(J\)-unitary on the imaginary axis in a natural way.
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A miscellany of results of an equation of Count J. F. Riccati
IEEE Transactions on Automatic Control, 1986Ian R Petersen, M Gevers, R Bitmead
exaly
A note on the algebraic matrix Riccati equation
IEEE Transactions on Automatic Control, 1977A Pearson
exaly
Solving the Matrix Differential Riccati Equation: A Lyapunov Equation Approach
IEEE Transactions on Automatic Control, 2010Z Gajic, Thang Nguyen
exaly
New further integrability cases for the Riccati equation
Applied Mathematics and Computation, 2013Tiberiu Harko
exaly
Homotopy analysis method for quadratic Riccati differential equation
Communications in Nonlinear Science and Numerical Simulation, 2008S Abbasbandy
exaly
New integrability case for the Riccati equation
Applied Mathematics and Computation, 2012Tiberiu Harko
exaly
An improved lower matrix bound of the solution of the unified coupled Riccati equation
IEEE Transactions on Automatic Control, 2005Chien-Hua Lee
exaly
A boundary layer method for the matrix Riccati equation
IEEE Transactions on Automatic Control, 1973P Kokotovic
exaly

