Global finite time lag synchronization for a class of chaotic systems with the cubic terms in the presence of time delay
This paper designs a simple, continuous and dimension reducible controller, named the variable substitution and feedback controller, to deal with the global finite time lag synchronization for a class of chaotic systems with cubic terms in the presence of time delay. Under the new designed controller, the finite time lag synchronization scheme is built up after the description of a class of chaotic systems with cubic terms. Then the finite time stability theory is applied to prove some criteria for the global finite time lag synchronization of this class of chaotic systems and estimate the synchronization time by transforming the global finite time lag synchronization problem to the global finite time stability of the error system, which originates from the established finite time lag synchronization scheme for this class of chaotic systems. Then, the obtained criteria are applied to the modified Chua's circuit system, further attaining a criterion on the global finite time lag synchronization of the Chua's circuit systems. Finally, a numerical example is provided to verify the effectiveness of the newly obtained criterion.
2016 35th Chinese Control Conference (CCC)