一类具有时滞的不确定双线性系统的Robust镇定(英文)

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本文给出了一类既有结构摄动又有状态时滞的双线性系统的Robust镇定的充分条件。基于矩阵测度的概念,本文将高维系统的渐近Robust稳定性问题转化为一维情形,以使本文的主要问题易于处理。在证明主要定理时,本文采用了比较原理及离散化、归纳法等技巧。最后我们还给出了数值算例以示控制器的设计。 In this paper, the sufficient conditions of Robust stabilization for a class of bilinear systems with both perturbed and time-varying states are given. Based on the concept of matrix measure, this paper transforms the asymptotic Robust stability problem of high-dimensional system into one-dimensional case, so that the main problems of this paper can be easily handled. In proving the main theorem, this article uses the principle of comparison and discretization, induction and other techniques. Finally, we give a numerical example to show the controller design.
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