A new type of time-delay chaotic systems and its minimal-energy guided control
一类新的时滞混沌系统及其最小能量引导控制

A class of time-delay chaotic system is proposed. By altering its parameters, we can observe a variety of dynamical behaviors through its largest Lyapunov exponents, phase diagrams and bifurcation diagrams, and find a kind of violent quasi-periodic (weak chaotic) oscillatory motion. Its hazards and possible applications are analyzed. The problem of synchronization between two higher-order chaotic systems with unmatched time-delays is put forward. A varying gain feedback-based minimal-energy control method is presented to design a linear feedback controller, and a rapid guided control is realized. Because the feedback gain starts from a small value and gradually increases with the reduction of synchronization error, the energy consumption for control can be effectively reduced.