Delay-dependent stability analysis for a class of linear uncertain systems

Time-delay is one of the main problems in networked control systems. This paper considers the delaydependent stability of a class of linear uncertain continuous systems with multi-delay. There exist both unmodeled dynamics and external disturbance in the system considered. By adopting Lyapunov-Krasovskii functional and dissipative theory, sufficient conditions are given to ensure the existence of a memoryless state feedback control law, which guarantees the stability of the closed-loop system. The conditions also ensure that the closed-loop system satisfies γ-suboptimal H_∞ performance and hence give a criterion for control design.