Chaotic Synchronization Of Non-autonomous Driven-response Systems Under Discontinuous Control

Because the synchronization of chaos system has a wide range of application prospects in secure communication,human life science,forest and grass dynamics,and so on,the synchronization control of chaos system has attracted more and more scholars' attention.However,most of the literatures are about the synchronization of autonomous chaotic systems,and there is little research on the synchronization of non-autonomous chaotic systems.Therefore,this paper mainly studies the synchronization of non-autonomous chaotic systems under different control methods,considers and analyzes the case of parameter mismatch.The main contents are as follows:Firstly,the synchronization of the non-autonomous chaotic systems under the event-triggered control is investigated by co-designing the trigger conditions and control gain.By using the theory of Lyapunov stability,the sufficient conditions in the form of linear matrix inequality for the synchronization of non-autonomous chaotic systems under the event-triggered control are obtained.In addition,the lower bound of event trigger time interval is also given in this paper.Furthermore,numerical simulation verifies the effectiveness of the obtained theoretical results.Secondly,a new control method named sampling–intermittent control is presented in this paper to study the practical synchronization between master–slave non–autonomous chaotic systems,where parameters of the external harmonic excitation are mismatched.The sampling–intermittent control is a combination of the conventional sampling control and intermittent control,and has the advantages of both two methods.Some synchronization criteria in the form of matrix inequalities are obtained by using the practical stability theory and the Lyapunov–Krasovskii functional.An estimation of the synchronization error bound is also given to reveal the relationship between the error bound and the parameters.Furthermore,numerical simulation verifies the effectiveness of the obtained theoretical results.Finally,two different control methods are used to realize the chaotic synchronization of non-autonomous driver-response systems.The synchronization criteria of linear matrix inequations(LMIs)for non-autonomous chaotic systems under the sampling-intermittent control and the sampled-data control are given.In the numerical simulation,the two control methods are compared to realize the synchronization of the non-autonomous chaotic systems.