Input-to-state Stability of Impulsive Systems with Different Jump Maps
For control theorists, it extends ISS theory to a broader class of impulsive systems with time-varying jump maps, enabling stability analysis of interconnected systems with different impulse sequences.
The paper provides sufficient conditions for input-to-state stability (ISS) of impulsive systems with time-dependent jump maps, enabling analysis of interconnected impulsive systems. A small-gain theorem with a new dwell-time condition is proven to verify ISS of interconnections.
The paper introduces sufficient conditions for input-to-state stability (ISS) of a class of impulsive systems with jump maps that depend on time. Such systems can naturally represent an interconnection of several impulsive systems with different impulse time sequences. Using a concept of ISS-Lyapunov function for subsystems a small-gain type theorem equipped with a new dwell-time condition to verify ISS of an interconnection has been proven.