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研究了一类同时具有输入时滞以及不确定参数的时滞关联大系统的稳定性问题.基于所谓的还原法,给出一种新的状态反馈控制器的设计方法,这种方法的不同之处在于利用了时延的大小以及反馈控制的历史信息.根据Lyapunov稳定性理论得到了系统在控制器作用下稳定的充分条件,所有条件都化成可解的标准LMIs(Linear matrix inequalities)形式.文章最后给出了一个数值例子说明本文结果的可行性.
The stability of a class of large-scale delay-dependent large-scale systems with both input delay and uncertain parameters is studied. A new design method of state feedback controller is given based on the so-called reduction method. The difference of this method Which is based on the use of the size of the delay and the historical information of the feedback control. According to the Lyapunov stability theory, the sufficient conditions for the stability of the system under the control of the controller are obtained. All the conditions are transformed into the form of standard LMIs (Linear matrix inequalities). Finally, a numerical example is given to illustrate the feasibility of the results in this paper.