In this paper, a new method for the approximation of discrete time state-affine systems is proposed. The method is based on the diagonalization of proposed generalized controllability and obeservability Gramians. The reduction algorithm employs singular value decomposition to retain states corresponding to dominant singular values of these Gramians. The proposed method can be considered as the ...

The aim of this paper is to address computational aspects of the total energy singular vector analysis of atmospheric chemical transport models. We discuss the symmetry of the tangent-linear/adjoint operator for stiff systems. Results for a 3D simulation with real data reveal that the total energy singular vectors depend on the target domain, simulation window, chemical reactions, and meteorolo...

We consider linear systems of equations, Ax = b, with an emphasis on the case where A is singular. Under certain conditions, necessary as well as sufficient, linear deterministic iterative methods generate sequences {xk} that converge to a solution, as long as there exists at least one solution. This convergence property can be impaired when these methods are implemented with stochastic simulat...

This paper deals with a design method of compensation law for linear constrained systems. By employing singular value decomposition of linear systems, we provide a design method of compensation law which fulfills system constraints. The feature of resulting compensation law is illustrated with numerical examples. Copyright c ©2005 IFAC