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首页> 外文期刊>IEEE Transactions on Automatic Control >Bounded real criteria for linear time-delay systems
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Bounded real criteria for linear time-delay systems

机译:线性时滞系统的有界真实准则

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Considers the problem of finding the H/sub /spl infin//-norm of a linear time-varying system having a delayed state and with an output that comprises a linear combination of the "current" state as well as of the "delayed" state. Both delay-independent and delay-dependent bounded real criteria are derived which provide sufficient conditions for the system to possess an H/sub /spl infin//-norm which is less than or equal to a prescribed bound. The stationary case for time-invariant systems is also tackled, and in this situation the proposed bounded real criteria are given in terms of linear matrix inequalities. Two examples are presented which compare the guaranteed bounds that are achieved by our results with the actual H/sub /spl infin//-norm of the system.
机译:考虑以下问题:找到具有时滞状态且输出包含“当前”状态和“延迟”状态的线性组合的线性时变系统的H / sub / spl infin //范数州。导出了与延迟无关的和与延迟相关的有界实数准则,它们为系统具有小于或等于规定界限的H / sub / spl infin //-范数提供了充分的条件。还解决了时不变系统的平稳情况,在这种情况下,根据线性矩阵不等式给出了拟议的有界实数准则。给出了两个例子,将我们的结果所达到的保证范围与系统的实际H / sub / spl infin //-范数进行比较。

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