对混沌自适应控制的控制强度的讨论之二

Discussion 2 of control stiffness of adaptive control chaos method

文中对文献［１］提出的混沌自适应控制方法中给出的控制强度取值范围的计算方法作出了重要修改，指出了上文忽略的与控制矩阵的复数本征值λ±对应的控制强度，对离散系统只要满足│λ±│＜１亦可控制混沌，且更有效．其次指出对连续性系统仅考虑文献［１］给出的条件是不够的，控制强度还要满足λ±值的实部小于零，即微分方程的李雅鲁诺夫渐近稳定条件才能有效控制混沌。

This paper make important correction for reference [l]. We Point out it is more effective that the control stiffness is correspending to complex eigenvalue of the matrix introduced by linearizing the dynamic system, it can also control chaos when λ±<1 for discrete system. We Point out it is Ont enough for control chaos of continuous system that only consider the condition proved by reference [l], the control stiffness should accord with the condition of Re (│λ±<1│) <0.