Delay-dependent robust stabilization for a class of uncertain time-delay systems

摘要

This paper mainly studies the delay-dependent memoryless robust stabilization problem for a class of uncertain linear dynamic systems with time-varying time-delays in both state and control. The uncertain linear time-delay systems under consideration are described by state differential equations with time-varying unknown-but-bounded uncertain parameters. A new robust stability criteria and a sufficient condition for the existence of memoryless robust stabilizing control law are derived. The results depend on the size of delays and are given in terms of several linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effective of the presented results.