Synchronization control of Markov jump neural networks with mixed time-varying delay and parameter uncertain based on sample point controller.

Autor: Xu, Nuo, Sun, Liankun
Zdroj: Nonlinear Dynamics; Nov2019, Vol. 98 Issue 3, p1877-1890, 14p
Abstrakt: This paper put forward an improved synchronization problem for neural networks with Markov jump parameters. The traditional Markov jump neural network (MJNN) only considers the basic external time-varying delays, ignoring both the distributed and leakage delays in the internal transmission of the neural network and the small time-varying errors in the mode switching of Markov probability transition rates. In this paper, we focus on the synchronization of MJNN with mixed time-varying delay. And an improved Lyapunov–Krasovskii functional is constructed. The convergence of inequalities is solved by using affine Bessel–Legendre inequalities and Wirtinger double integral inequalities. At the same time, a new method is used to optimize the mathematical geometric area of the time-varying delay and reduce the conservativeness of the system. Finally, a sample point controller is constructed to synchronize the driving system and the corresponding system. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index