On parameter dependence of solutions of algebraic Riccati equations (Q1111993)

The paper considers the behaviour of Hermitian solutions, especially the maximal ones (which are obviously unique) of algebraic Riccati equations whose coefficients depend on real parameters. This result is of considerable interest for control theorists. The cases of analytic dependence on one parameter and \(C^ r\)-dependence (0\(\leq r\leq \infty)\) on multiple parameters are considered. The basis assumption made is stabilizability.