Sliding Motion of Discontinuous Dynamical Systems Described by Differential Algebraic Equations

Abstract Starting from the equations describing the equivalent dynamics of ordinary differential equations (ODEs), an equivalent dynamical differential algebraic equation (DAE) system is derived. It is shown that a procedure similar to the one available for ODEs can be used to construct an equivalent DAE system as well. The proposed method is shown to work with a class of discontinuous DAE systems typified by an ideal gas-liquid system and a soft drink manufacturing process.