2015 IEEE. In this letter, we combine the continuous systems with the impulsive control systems. Thus we propose a new mathematic model, namely sandwich control system. The system is a cyclic control system and there is no rest time for the inputs. The first and last parts of the system's inputs are continuous and other's is impulsive for a period of the system. We study the stability of it by constructing a Lyapunov function and using some mathematical techniques we get an exponential stability criteria in terms of a set of linear matrix inequalities. By the use of the results in this paper, the Chua's oscillor is controlled.
name of conference
2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)