Input-output finite-time stability of switching systems with uncertainties on the resetting times

The concept of Input-Output Finite Time Stability (IO-FTS) is extended to time-dependent switching linear systems, which are systems with different continuous dynamics and that can exhibit state jumps driven by time. Sufficient conditions are given for the analysis of IO-FTS in the case of certain and uncertain resetting times. The presented results require to solve feasibility problems involving Difference/Differential Linear Matrix Inequalities, which can be solved numerically in an efficient way by using off-the-shelf optimization tools, as illustrated by the proposed example.