Research On The Algorithm Of Coronary Artery Time Lag System Based On Integral Inequality

Considering the treatment of coronary artery related diseases,this paper mainly studies the chaotic synchronization problem of uncertain coronary artery time-delay systems by using chaotic control theory.Coronary artery is a kind of blood vessel and its main function is to transport oxygen and nutrients to the heart muscles.Once the lesions appear,it will lead to serious impact for human health.Therefore,the research for chaotic synchronization of coronary artery system has far-reaching significance.This paper mainly studies from the following aspects:Firstly,considering the influence of time-varying delay and uncertain disturbance,a synchronous control method is proposed based on the mathematical model of coronary artery chaotic system.The conditions of the stability analysis of the closed-loop system are obtained by constructing suitable Lyapunov-Krasovskii functional.Using the further improvement of Jensen integral inequality,combined with Moon inequality and convex analysis method to obtain less conservative than Jensen inequality and Wirtinger inequality.Secondly,a state feedback synchronization control scheme is proposed for the uncertain coronary artery time-delay system with input saturation.In order to deal with the input saturation,linear matrix inequalities adequate conditions are obtained based on the local sector condition.Furthermore,by constructing Lyapunov-Krasovskii functional,a state feedback controller is designed to achieve synchronization for chaos system with input saturation.Moreover,the improved Jensen inequality,convex analysis,delay-partitioning approach and the Moon inequality are utilized to get the less conservative.Finally,under the consideration of the time-delay and uncertain external disturbancea,a state feedback controller is designed for the coronary artery state time-delay system.Based on the second-order Bessel-Legendre inequality,Moon inequality and convex analysis method,the condition for chaotic synchronization control of coronary time-delay system is derived by constructing the Lyapunov-Krasovskii functional of triple integral.