Brief paper - Input-to-state stability for descriptor systems with non-linear perturbations

This study considers input-to-state stability (ISS) for descriptor systems with non-linear perturbations. The linear parts of the systems are allowed to be unstable. By using Lyapunov stability theory and linear matrix inequality (LMI), an LMI-based ISS criterion is derived. Furthermore, the trajectory boundedness of descriptor systems with non-linear perturbations is discussed by the newly developed result. Finally, an example is given to show the effectiveness of the proposed methods.