On Sufficient Conditions for Input-to-State Stability of Interconnected Impulsive Systems

This paper addresses the problem of input-to-state stability of two interconnected impulsive systems with linear interconnection gains. Under dwell time or reverse dwell time constraint, sufficient conditions are provided which ensure input-to-state stability of the overall system. Compared to available results, the newly developed conditions do not rely on systems augmentation and hence avoids expanding the overall system dimensions. Some numerical examples are given to verify the theoretical outcomes.