Thongchai Botmart, Wajaree Weera
New Hybrid Adaptive Control for Function Projective Synchronization of Complex Dynamical Network with Mixed Time-Varying and Coupling Delays
hybrid adaptive control, function projective synchronization, complex dynamical network, mixed time-varying delay, mixed coupling delay
This paper investigates function projective synchronization (FPS) for complex dynamical network with mixed time-varying and hybrid coupling delays, which is composed of state coupling, time-varying delay coupling and distributed time-varying delay coupling. In contrast to previous results, the coupling configuration matrix need not be symmetric or irreducible. The designed controller ensures that the FPS of delayed complex dynamical network are proposed via hybrid error adaptive control, which contains error term, time-varying delay error term and distributed time-varying delay error term. Based on the construction of improved Lyapunov-Krasovskii functional is combined with Leibniz-Newton formula and the technique of dealing with some integral terms, we prove the stability of the closed-loop system and the convergence of the error system. Numerical example is included to show the effectiveness of the proposed hybrid adaptive control scheme.
Cite this paper
Thongchai Botmart, Wajaree Weera. (2016) New Hybrid Adaptive Control for Function Projective Synchronization of Complex Dynamical Network with Mixed Time-Varying and Coupling Delays. International Journal of Mathematical and Computational Methods, 1, 405-414