Abstract

Abstract This paper states the synchronization problem of coronary artery system with input time-varying delay and disturbances. Precisely, coronary artery is the blood vessel which supplies nutrients and oxygen to the heart. Moreover, the inner pressure and diameter of the coronary artery vessel may vary with respect to the unpredictable factors such as thyroid, high blood pressure, heart-value problems, etc which leads to abnormal heart rhythm. Thus, to alleviate these effects, the stochastic reliable controller is designed to synchronize the diseased system with healthy chaotic coronary artery system. Further, the fast cognizance of the considered system is guaranteed in a precise period of time to reduce the degradation in oxygen supply and also the risk rate of human lives. Also, the stochastic reliable control design is developed by solving the obtained linear matrix inequalities based algorithm. Furthermore, the numerical simulation of the addressed system with respect to the proposed analytical result is presented, which demonstrates the effectiveness, inherent potential and usefulness of the designed control protocol.

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