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Closed-form solution of non-symmetric algebraic Riccati matrix equation

Applied Mathematics Letters, 2022
Akbar Shirilord, Mehdi Dehghan
exaly  

Geometry of the algebraic Riccati equation. I

The algebraic Riccati equation (ARE) is the matrix equation \(-A'K- KA+KBB'K-Q=0,\) where A, B, Q are real matrices and Q is symmetric. Its solutions are equilibrium points of the Riccati differential equation of linear quadratic control. Two well-known methods are available for studying the ARE: the ''Hamiltonian matrix method'' associates to every ...
openaire   +2 more sources

Trace bounds on the solution of the algebraic matrix Riccati and Lyapunov equation

IEEE Transactions on Automatic Control, 1986
Sheng-De Wang
exaly  

New Upper Solution Bounds of the Continuous Algebraic Riccati Matrix Equation

IEEE Transactions on Automatic Control, 2006
Chien-Hua Lee
exaly  

Sensitivity of algebraic Riccati equations

26th IEEE Conference on Decision and Control, 1987
Charles Kenney, Gary Hewer
openaire   +1 more source

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