Further Results on Stability of Sampled-Data Systems Considering Time-Delay and Its Application to Electric Power Markets

This paper concentrates on analyzing the stability problems of aperiodic sampled-data systems with time delay. Based on Lyapunov theory, a new time-square-dependent two-side looped-functional (TTLF) is proposed, which can take full advantage of the second order terms with respect to time. And by using the intrinsic relationships of state vectors, a new zero equality is obtained. Then, a less conservative stability condition is gained. In addition, the method proposed is applied to an electric power market (EPM) to study the influence of market clearing time (MCT) and communication delay on system stability. Finally, the effectiveness of the proposed stability criterion is verified based on numerical experiments.