Rabah

Decoupling without prediction of linear systems with delays: a structural approach

We exhibit, using a new structural approach specific for linear systems with delays, a necessary and sufficient condition for static row-by-row decoupling without prediction. Moreover, the decoupling problem is analyzed through two different concepts: the total one (without any time assumption), and the partial one (in a temporal mean), which can be considered if the total one has no solution.

A Note on Decoupling for Linear Infinite Dimensional Systems

Abstract For infinite dimensional systems the disturbance decoupling and the row-by-row decoupling problems are considered. Using ( A, B )-invariant subspaces in Hautus form, solvabilty for the given problems are characterized. Connection with other results are given. The approach using the canonical form at infinity, when this form is well defined, is discussed.

On Equivalence at Infinity and Row-By-Row Decoupling for Linear Systems With Delays

Abstract For linear systems with delays the problem ofnon interacting control (rowby-row decoupling problem) is considered. Using the notion ofequivalence at infinity, a characterization of the solution by a compensator design is given. The solution is non-anticipative. A easily checkable necessary condition is established. Connections with other conditions are discussed.