Chaotic Synchronization Algorithm For Coronary Time-delay Systems

Coronary artery system(CAS)is delivering the oxygen and nutrition to myocardium.From the perspective of biology,spasm or obstruction of the coronary artery will cause some dangerous diseases,such as myocardial infarction,angina pectoris and so on.In recent years,researchers describing the CAS which is a chaotic system as a Duffing equation.Therefore,many researchers study the CAS from the perspective of chaotic synchronization.Relevant control strategies have biological and clinical value.In this paper,based on the chaotic synchronization of CAS,we do the research from the following two aspects:First,taking medicines and absorbing of medicines will cost some time.It is not difficult to understand that the time delays mentioned above should not be ignored.Unfortunately,many control strategies have highly conservative and even not consider the influence of time delay.This paper investigates the H∞ synchronization of the CAS with input delay.In order to cut down the conservatism of the existing stability criteria,we utilize the augmented Lyapunov-Krasovskii functionals and some advanced inequality,such as a refined Jensen-based inequality and double integral forms of Wirtinger-based inequality.Base on the new criterion,we design a synchronization feedback controller for chaotic.synchronization of CAS.Furthermore,we use delay-partitioning approach and construct different Lyapunov-Krasovskii functionals based on the characteristics of partition interval to obtain a less conservatism stability criterion.Then,a new control strategy is obtained by this stability criterion.The CAS has complicated nonlinear characteristics.Recent decades,T-S fuzzy model exhibited significant functions in approximating and describing complex nonlinear systems.In this paper,we give a fuzzy CAS model which can retain much more information of nonlinear characteristics.Based on the new model,a fuzzy parametric adaptive output feedback controller is designed to achieve the H∞synchronization of coronary artery system with input nonlinearity and parameter perturbations.In this paper,chaos synchronization control of the CAS is studied from the above two aspects.This paper provides a new way for the related study,and enriches the existing research results.