Robust finite-time stabilization of unified chaotic complex systems with certain and uncertain parameters

This paper deals with the finite-time stabilization of the unified chaotic complex systems with known and unknown parameters. Based on the finite-time stability theory, the nonlinear control laws are presented to achieve finite-time chaos control of the determined and uncertain unified chaotic complex systems, respectively. The two controllers are simple and one of the uncertain unified chaotic complex systems is robust. For the design of finite-time controller on uncertain unified chaotic complex systems, only part of all unknown parameters are required to be bounded. Simulation results for the chaotic complex Lorenz, Lü and Chen systems are presented to validate the design and the analysis.