An LMI based approach to passivity analysis and robust passification of uncertain neutral systems with time varying delays

In this paper we derive sufficient conditions for passivity of neutral type time delay systems (TDS) with time varying parametric uncertainties. The delays in states and state derivatives are assumed to be time varying. Delay dependent sufficient conditions for robust passivity, are derived in terms of Linear Matrix Inequalities (LMIs). Feedback control law is formulated for robust passification of unstable systems. Numerical examples are given at that end that show the effectiveness of the proposed approach and reduced conservatism as compared to previously used passivity analysis and passification techniques.