The L2 gain analysis for a class of dissipative Hamilton systems subject to time-varying delay and saturation

This paper investigates the L2 gain stabilization of the dissipative Hamilton systems subject to time-varying delay and actuator saturation. The stability and dynamic performance of systems are seriously influenced by time delay and saturation. According to depending on time delay or not, conditions of the stability are divided into two categories: delay-dependent and delay-independent. Analyzed from the two aspects, the corresponding closed-loop system is globally asymptotically stable with the static output feedback. Moreover, with the evolution of nonlinear functions for the system, the closed-loop system can receive the L2 gain stabilization, while the estimated value of gain is obtained. Finally the simulation of an illustrative example shows that the proposed method is effective.