Stability of internet-based control systems with uncertainties and multiple time-varying delays

In this paper, based on remote control and localcontrol strategy, a class of hybrid multi-rate control modelswith uncertainties and multiple time-varying delays is formulatedand their robust stability properties are investigated. ByLyapunov-Krasovskii functions and apply it to a descriptormodel transformation, some new criteria of robust stability forsuch Internet-based control systems are established. Numericalexample and simulation are given to illustrate the effectivenessof the theoretical results.