Exponential stability assignment of neutral delay-differential systems by a class of linear–quadratic regulators
Exponential stability assignment of neutral delay-differential systems by a class of linear–quadratic regulators
复制标题
一类线性二次调节器对中性时滞微分系统的指数稳定性赋值
DOI：
10.1080/00207720410001684521
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发表时间：
2004
影响因子：
4.3
通讯作者：
T. Kubo
中科院分区：
文献类型：
--
作者：
T. Kubo
针对中立型时滞微分系统，提出了一种构造简单反馈律的方法。反馈增益的确定与矩阵不等式的解决方案，这可以通过解决有限维线性矩阵不等式的技术数值求解。结果表明，所得到的闭环系统是渐近稳定的，如果一些变量的转换，它是确保有一个预先指定的指数稳定度。此外，它属于一类线性二次型调节器。设计过程中证明和反馈的有效性进行了评估与数值模拟。
A method to construct a simple feedback law for neutral delay-differential systems is proposed. The feedback gain is determined with a solution of a matrix inequality, which can be solved numerically via the technique of solving finite-dimensional linear matrix inequalities. It is shown that the resulting closed-loop system is asymptotically stable, and if some transformation of variables is introduced, it is assured to have a pre-assigned degree of exponential stability. Moreover, it belongs to a class of linear–quadratic regulators. The design procedure is demonstrated and the effectiveness of the feedback is evaluated with a numerical simulation.