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考虑线性连续时间系统在非结构式参数扰动下的稳定鲁棒性分析问题,该文提出一种新的有效的代数方法,由此导出可允扰动的范数上界,作为特例研究了含结构式参数扰动的不确定系统的稳定鲁棒性,并推广到双线性系统的情形。与已有结果相比,该文关于不确定性无需附加任何匹配条件。数值算例说明了该文分析方法的简单性与直接性。
Considering the problem of robust stability analysis of linear continuous-time systems under disturbance of unstructured parameters, this paper proposes a new effective algebraic method to derive the upper bound of norm-tolerant dynamics. As a special case, The robust stability of the perturbed system is generalized to the bilinear system. Compared with the existing results, this paper does not need to add any matching conditions to the uncertainty. Numerical examples illustrate the simplicity and immediacy of this method.