Reducing strangeness-free delay differential-algebraic systems to neutral systems with application to H_2 analysis

The paper is devoted to the reduction of linear time-invariant delay differential-algebraic systems (singular systems) to neutral type non-singular systems. We consider the class of strangeness-free systems, which is broader than the commonly investigated class of regular impulse-free systems. Strangeness-free systems have some important properties, like the existence and the unicity of the solution, and the standard relation between the spectrum and the stability property of the system. The contribution is twofold. First, we show how to reduce a strangeness-free control system to a neutral type non-singular one by adding low rank term to the system. The second contribution is in applying at the result to the stability analysis and the ℋ_2 norm characterization for the differential-algebraic systems.nrpages: 18status: publishe