Finite-time <i>H</i>_∞ control for a chaotic finance system via delayed feedback

Abstract

This paper is concerned with the finite-time $ H_\infty $ control problem for a chaotic finance system subject to energy-bounded external disturbance via delayed feedback controller. Based on an augmented Lyapunov-like functional, the Wirtinger-based inequality and the novel finite-time boundedness analysis approach, a delay-dependent sufficient condition is proposed in terms of linear matrix inequalities such that the closed-loop error system is finite-time bounded with a prescribed $ H_\infty $ performance level. By simple modification, the sufficient condition based on the standard $ H_\infty $ control design is also obtained. Finally, simulation results are given to demonstrate the effectiveness and advantages of our proposed results.