Lagrange Stability Analysis for Power Systems with Time-Varying Delays

In this paper, we study the global Lagrange stability for delayed electric power systems. Based on the linear matrix inequality technique, the distinguishing principle and its approach of global Lagrange exponential stability for delayed electric power systems are introduced, which are easily verifiable and have a wider application range. Meanwhile, the estimation of the globally exponentially attractive set (i.e. stable region) is also given out. Finally, an example is given and analyzed to demonstrate our results.