Nonsymmetric differential matrix Riccati equations arise in many problems related to science and engineering. This work is focusing on the sensitivity of solution perturbations coefficients initial condition. Two approaches nonlocal perturbation analysis symmetric equation are extended nonsymmetric case. Applying techniques Fréchet derivatives, Lyapunov majorants fixed-point principle, two boun...

In this paper, asymmetric Algebraic Riccati Equations are analyzed. We derive a new parametrization of the set of solutions, which may be viewed as alternative to the classical one based on Lagrangian subspaces of a “pseudo-Hamiltonian” matrix. Generalizing the symmetric case, the proposed parametrization is given in terms of pairs of invariant subspaces of two related “feedback” matrices. Exte...