Exponential stability of impulsive positive switched systems with discrete and distributed time-varying delays

This paper studies the exponential stability problems of discrete-time and continuous-time impulsive positive switched systems with mixed (discrete and distributed) time-varying delays, respectively. By constructing novel copositive Lyapunov-Krasovskii functionals and using the average dwell time technique, delay-dependent sufficient conditions for the solvability of considered problems are given in terms of fairly simple linear matrix inequalities. Compared with the most existing results, by introducing an extra real vector, restrictive conditions on derivative of the time-varying delays (less than 1) are relaxed, thus the obtained improved stability criteria can deal with a wider class of continuous-time positive switched systems with time-varying delays. Finally, two simple examples are provided to verify the validity of theoretical results.