General recent techniques in fault detection and isolation (FDI) are based on H∞ optimization methods to address the issue of robustness in the presence of disturbances, uncertainties and modeling errors. Recently developed linear matrix inequality (LMI) optimization methods are currently used to design controllers and filters, which present several advantages over the Riccati equation-based de...

We present a new approach to a class of non-convex LMI-constrained problem in robust control theory. The problems we consider may be recast as the minimization of a linear objective subject to linear matrix inequality (LMI) constraints in tandem with non-convex constraints related to rank conditions. We solve these problems using an extension of the augmented Lagrangian technique. The Lagrangia...

The present paper is focused on the issue of pointwise [11], or (strong) delay-independent [16], stabilization of linear delay systems with commensurate delays. A criterion using LMI formulation is proposed, which is sufcient to have this property. Necessity is conjectured. 1 The problem under study and its background In a previous paper [1, 2] was provided a LMI condition necessary and su cien...

The induction of localized DNA damage within a discrete nuclear volume is an important tool in DNA repair studies. Both charged particle irradiation and laser microirradiation (LMI) systems allow for such a localized damage induction, but the results obtained are difficult to compare, as the delivered laser dose cannot be measured directly. Therefore, we revisited the idea of a biological dosim...