Exponential-weighted input-to-state stability of hybrid impulsive switched systems

摘要

Stability of the non-linear systems with external inputs is an important problem in control theory and engineering. Input-to-state stability (ISS) is one of the stability concepts that have been introduced to non-linear systems. This study extends the ISS to a more general case, namely, exponential-weighted input-to-state stability (e;B;t-weighted ISS). By employing the Lyapunov function and Lyapunov??Razumikhin techniques, e;B;t