Section: New Results

Positive invariance for time delay systems

Participants : Sorin Olaru [correspondent] , Silviu Niculescu [CNRS (LSS)] , Georges Bitsoris [University of Patras, Greece] .

A new concept of positive invariance has been established in the original state space for discrete time dynamical systems. Furthermore, the necessary and sufficient algebraic condition for such properties have been derived allowing a direct test using basic linear programming arguments. In a recent work, the rigid positive invariance has been relaxed toward a cyclic invariant concept [18] .