Impulsive control with time windows for hyperchaotic exponential synchronization

In actual situation, the input error of impulsive signal is inevitable and there are always some time delays when different systems communicate with each other. Then, considering the input error and time delays in the real world, this paper provides the criteria for the exponential lag synchronization of one kind of hyperchaotic system based on impulsive control with time windows, matrix inequalities, etc. Finally, the simulation results are displayed to illustrate the theoretical results.