This paper researches observer-based H ∞ synchronization of coronary artery system with input, output time-delays, and external disturbance. By designing chaotic observers for both the master system and slave system, the estimation of the states for master-slave systems has been accomplished. Based on the free-matrix-based integral inequality and Wirtinger-based inequality, the Lyapunov Krasovskii functional (LKF) is constructed to obtain a less conservative synchronization strategy for the chaotic coronary artery system with the existence of state estimation errors and synchronization error. The effectiveness of this control strategy has been demonstrated by some simulations.INDEX TERMS Observer design, H ∞ synchronization, chaotic coronary artery system, free-matrix-based integral inequality, Wirtinger-based inequality, reciprocal convex combination.

This paper investigates the problem of fuzzy state feedback control for a category of fuzzymodel-based coronary artery system(FMBCAS) with state time-delay. T-S fuzzy model is employed to close in coronary artery system(CAS) which exists unknown nonlinear characteristics. Through the use of linear matrix inequality technique, the synchronization controller for CAS are obtained. By utilizing the delay-partitioning method, we can get a less conservative results. The Bessel-Legendre inequality and the Moon's et al. inequality with convex analysis are used to further reduce the conservatism of the system. Finally, a simulation of CAS proves the effectiveness of our strategy.

This paper investigates novel adaptive observation control for synchronization of uncertain chaotic coronary artery system (CCAS). Novel adaptive observers are developed to obtain the estimated system states of uncertain CCAS which has unknown parameters. By utilizing the adaptive observers and controller we proposed, the adaptation of unknown parameters has been achieved and the asymptotic stability of the synchronization error as well as the estimation errors are guaranteed. For the purpose of further reducing the conservatism, new Lyapunov Krasovskii functions (LKFs) which maintain more system states have been constructed in terms of Wirtinger-based inequality, a new double integral inequality and improved reciprocally convex inequality. Using [Formula: see text] control to ensure robust performance of CCAS which has unknown parameters and external disturbance. The adaptive observer gain matrices and controller gain matrix could be obtained by employing a decoupling approach. The effectiveness of this control methodology has been illustrated by a numerical simulation result.

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