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首页> 外文会议>Youth Academic Annual Conference of Chinese Association of Automation >Stability Analysis of Discrete-Time System with Time-Varying Delay Based on Generalized Reciprocally Convex Matrix Inequality
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Stability Analysis of Discrete-Time System with Time-Varying Delay Based on Generalized Reciprocally Convex Matrix Inequality

机译：基于广义互换矩阵不等式的不同延迟的离散时间系统的稳定性分析

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This paper concerns the stability analysis of discrete-time systems(DTS) with a time-varying delay(TVD). Firstly, by adding double summation terms, an appropraite Lyapunov-Krasovskii functional (LKF) is constructed. Then, the generalized reciprocally convex matrix inequality(GRCMI), together with the Jensen-based summation inequality(JBI) and the Wirtinger-based summation inequality(WBI), is used to estimate the forward difference of the LKF. Finally, a new delay-dependent stability criterion is established. The stability criterion show lower conservatism and require lower computational burden than results previously proposed, whose advantages are demonstrated via a numerical instance.
机译：本文涉及具有时变延迟（TVD）的离散时间系统（DTS）的稳定性分析。 首先，通过增加双重总和术语，构建了申请Lyapunov-Krasovskii功能（LKF）。 然后，使用广义互换凸矩阵不等式（GRCMI）以及基于Jensen的求和不等式（JBI）和基于丝网的求和不等式（WBI）来估计LKF的前向差异。 最后，建立了新的延迟依赖稳定性标准。 稳定性标准显示得较低的保守主义，并且需要比先前提出的结果更低的计算负担，其优点是通过数值实例对其进行说明。

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