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Robust H_∞ Control for a Class of Uncertain Neutral Stochastic Systems with Mixed Delays: a CCL Approach

机译:一类具有混合时滞的不确定中立随机系统的鲁棒H_∞控制:一种CCL方法

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摘要

In this paper, the problem of robust H_∞ control for a class of uncertain neutral stochastic systems with mixed delays is investigated. The parameter uncertainties are assumed to be norm-bounded. A delay-dependent sufficient condition is derived in terms of the nonlinear matrix inequality by constructing proper Lyapunov-Krasovskii functional, using matrix inequality techniques and introducing free weighting matrices. The new result obtained in this paper can be tested numerically by using the so-called cone complementarity linearization (CCL) algorithm. Two examples provided in the literature show the effectiveness of the proposed approach.
机译:本文研究了一类具有混合时滞的不确定中立随机系统的鲁棒H_∞控制问题。假设参数不确定性是有界的。通过构造适当的Lyapunov-Krasovskii泛函,使用矩阵不等式技术并引入自由加权矩阵,可以根据非线性矩阵不等式推导依赖于延迟的充分条件。本文获得的新结果可以使用所谓的锥互补线性化(CCL)算法进行数值测试。文献中提供的两个示例说明了该方法的有效性。

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