When Newton’s method is applied to find the maximal symmetric solution of an algebraic Riccati equation, convergence can be guaranteed under moderate conditions. In particular, ...
We survey on theoretical properties and algorithms concerning the problem of solving a nonsymmetric algebraic Riccati equation, and we report on some known methods and new algorit...
Dario Andrea Bini, Bruno Iannazzo, Beatrice Meini,...
We discuss a parallel algorithm for the solution of large-scale generalized algebraic Riccati equations with dimension up to O(105 ). We survey the numerical algorithms underlying ...
This paper discusses the infinite horizon stochastic Nash games with state-dependent noise. After establishing the asymptotic structure along with the positive semidefiniteness for...
Model reduction of large-scale linear time-invariant systems is an ubiquitous task in control and simulation of complex dynamical processes. We discuss how LQG balanced truncation ...