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采用线性矩阵不等式方法,研究一类不确定性动态系统.这类系统具有多重时变状态时滞和多重时变控制输入时滞,其不确定性满足范数有界条件.我们得到了一类不确定性时滞系统可状态反馈镇定的充分条件.通过解几个特定线性矩阵不等式,即可得到镇定已知系统的控制器.最后通过一个例子说明了本文方法的有效性和较黎卡提方程方法的优越性
Using a linear matrix inequality method, a class of uncertain dynamical systems is studied. Such systems have multiple time-varying state transitions and multiple time-varying control input delays, whose uncertainties satisfy the norm bounded condition. We obtain a sufficient condition for the state feedback stabilization of a class of uncertain time-delay systems. By solving several specific linear matrix inequalities, we can get the controller to stabilize the known system. Finally, an example is given to illustrate the effectiveness of the proposed method and its superiority over the Riccati equation method