Finite-time H∞ control for a chaotic finance system via delayed feedback
Erfeng Xu, Yonggang Chen, Juanjuan Yang · Systems Science & Control Engineering · 2018
This paper is concerned with the finite-time 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 performance level. By simple modification, the sufficient condition based on the standard control design is also obtained. Finally, simulation results are given to demonstrate the effectiveness and advantages of our proposed results.